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Finding the Third Proportional to 100,970 and 156,791

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Solution

The third proportional to 100,970 and 156,791 is: 243,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,970 : 156,791 = 156,791 : x
  2. Step 2: Convert to fraction form
    100,970/156,791 = 156,791/x
  3. Step 3: Cross multiply
    100,970x = 156,791 × 156,791
  4. Step 4: Simplify right side
    100,970x = 24,583,417,681
  5. Step 5: Solve for x
    x = 24,583,417,681/100,970
  6. Step 6: Final answer
    x = 243,472.49

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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.