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Finding the Third Proportional to 66,490 and 156,448

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Solution

The third proportional to 66,490 and 156,448 is: 368,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,490 : 156,448 = 156,448 : x
  2. Step 2: Convert to fraction form
    66,490/156,448 = 156,448/x
  3. Step 3: Cross multiply
    66,490x = 156,448 × 156,448
  4. Step 4: Simplify right side
    66,490x = 24,475,976,704
  5. Step 5: Solve for x
    x = 24,475,976,704/66,490
  6. Step 6: Final answer
    x = 368,115.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.