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Finding the Third Proportional to 119,688 and 155,292

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Solution

The third proportional to 119,688 and 155,292 is: 201,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,688 : 155,292 = 155,292 : x
  2. Step 2: Convert to fraction form
    119,688/155,292 = 155,292/x
  3. Step 3: Cross multiply
    119,688x = 155,292 × 155,292
  4. Step 4: Simplify right side
    119,688x = 24,115,605,264
  5. Step 5: Solve for x
    x = 24,115,605,264/119,688
  6. Step 6: Final answer
    x = 201,487.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.