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Finding the Third Proportional to 55,363 and 85,959

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Solution

The third proportional to 55,363 and 85,959 is: 133,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,363 : 85,959 = 85,959 : x
  2. Step 2: Convert to fraction form
    55,363/85,959 = 85,959/x
  3. Step 3: Cross multiply
    55,363x = 85,959 × 85,959
  4. Step 4: Simplify right side
    55,363x = 7,388,949,681
  5. Step 5: Solve for x
    x = 7,388,949,681/55,363
  6. Step 6: Final answer
    x = 133,463.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.