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Finding the Third Proportional to 70,671,821 and 152,690,749

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Solution

The third proportional to 70,671,821 and 152,690,749 is: 329,897,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,671,821 : 152,690,749 = 152,690,749 : x
  2. Step 2: Convert to fraction form
    70,671,821/152,690,749 = 152,690,749/x
  3. Step 3: Cross multiply
    70,671,821x = 152,690,749 × 152,690,749
  4. Step 4: Simplify right side
    70,671,821x = 23,314,464,830,181,000
  5. Step 5: Solve for x
    x = 23,314,464,830,181,000/70,671,821
  6. Step 6: Final answer
    x = 329,897,609.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.