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Finding the Third Proportional to 133,420.75 and 291,465.38

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Solution

The third proportional to 133,420.75 and 291,465.38 is: 636,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,420.75 : 291,465.38 = 291,465.38 : x
  2. Step 2: Convert to fraction form
    133,420.75/291,465.38 = 291,465.38/x
  3. Step 3: Cross multiply
    133,420.75x = 291,465.38 × 291,465.38
  4. Step 4: Simplify right side
    133,420.75x = 84,952,064,823.89
  5. Step 5: Solve for x
    x = 84,952,064,823.89/133,420.75
  6. Step 6: Final answer
    x = 636,723.03

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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.