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Finding the Third Proportional to 133,570,235,602 and 291,140,493,860

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Solution

The third proportional to 133,570,235,602 and 291,140,493,860 is: 634,593,379,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,570,235,602 : 291,140,493,860 = 291,140,493,860 : x
  2. Step 2: Convert to fraction form
    133,570,235,602/291,140,493,860 = 291,140,493,860/x
  3. Step 3: Cross multiply
    133,570,235,602x = 291,140,493,860 × 291,140,493,860
  4. Step 4: Simplify right side
    133,570,235,602x = 84,762,787,165,044,698,251,264
  5. Step 5: Solve for x
    x = 84,762,787,165,044,698,251,264/133,570,235,602
  6. Step 6: Final answer
    x = 634,593,379,153.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.