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Finding the Third Proportional to 129,475 and 282,487

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Solution

The third proportional to 129,475 and 282,487 is: 616,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,475 : 282,487 = 282,487 : x
  2. Step 2: Convert to fraction form
    129,475/282,487 = 282,487/x
  3. Step 3: Cross multiply
    129,475x = 282,487 × 282,487
  4. Step 4: Simplify right side
    129,475x = 79,798,905,169
  5. Step 5: Solve for x
    x = 79,798,905,169/129,475
  6. Step 6: Final answer
    x = 616,326.74

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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.