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Finding the Third Proportional to 66,537 and 145,413

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Solution

The third proportional to 66,537 and 145,413 is: 317,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,537 : 145,413 = 145,413 : x
  2. Step 2: Convert to fraction form
    66,537/145,413 = 145,413/x
  3. Step 3: Cross multiply
    66,537x = 145,413 × 145,413
  4. Step 4: Simplify right side
    66,537x = 21,144,940,569
  5. Step 5: Solve for x
    x = 21,144,940,569/66,537
  6. Step 6: Final answer
    x = 317,792.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.