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Finding the Third Proportional to 63,508 and 93,426

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Solution

The third proportional to 63,508 and 93,426 is: 137,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,508 : 93,426 = 93,426 : x
  2. Step 2: Convert to fraction form
    63,508/93,426 = 93,426/x
  3. Step 3: Cross multiply
    63,508x = 93,426 × 93,426
  4. Step 4: Simplify right side
    63,508x = 8,728,417,476
  5. Step 5: Solve for x
    x = 8,728,417,476/63,508
  6. Step 6: Final answer
    x = 137,438.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.