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Finding the Third Proportional to 63,790 and 91,310

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Solution

The third proportional to 63,790 and 91,310 is: 130,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,790 : 91,310 = 91,310 : x
  2. Step 2: Convert to fraction form
    63,790/91,310 = 91,310/x
  3. Step 3: Cross multiply
    63,790x = 91,310 × 91,310
  4. Step 4: Simplify right side
    63,790x = 8,337,516,100
  5. Step 5: Solve for x
    x = 8,337,516,100/63,790
  6. Step 6: Final answer
    x = 130,702.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.