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Finding the Third Proportional to 28,959 and 63,459

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Solution

The third proportional to 28,959 and 63,459 is: 139,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,959 : 63,459 = 63,459 : x
  2. Step 2: Convert to fraction form
    28,959/63,459 = 63,459/x
  3. Step 3: Cross multiply
    28,959x = 63,459 × 63,459
  4. Step 4: Simplify right side
    28,959x = 4,027,044,681
  5. Step 5: Solve for x
    x = 4,027,044,681/28,959
  6. Step 6: Final answer
    x = 139,060.21

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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.