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Finding the Third Proportional to 136,537 and 288,650

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Solution

The third proportional to 136,537 and 288,650 is: 610,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,537 : 288,650 = 288,650 : x
  2. Step 2: Convert to fraction form
    136,537/288,650 = 288,650/x
  3. Step 3: Cross multiply
    136,537x = 288,650 × 288,650
  4. Step 4: Simplify right side
    136,537x = 83,318,822,500
  5. Step 5: Solve for x
    x = 83,318,822,500/136,537
  6. Step 6: Final answer
    x = 610,228.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.