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Finding the Third Proportional to 242,366 and 402,534

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Solution

The third proportional to 242,366 and 402,534 is: 668,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,366 : 402,534 = 402,534 : x
  2. Step 2: Convert to fraction form
    242,366/402,534 = 402,534/x
  3. Step 3: Cross multiply
    242,366x = 402,534 × 402,534
  4. Step 4: Simplify right side
    242,366x = 162,033,621,156
  5. Step 5: Solve for x
    x = 162,033,621,156/242,366
  6. Step 6: Final answer
    x = 668,549.31

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.