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Finding the Third Proportional to 281,534 and 424,730

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Solution

The third proportional to 281,534 and 424,730 is: 640,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,534 : 424,730 = 424,730 : x
  2. Step 2: Convert to fraction form
    281,534/424,730 = 424,730/x
  3. Step 3: Cross multiply
    281,534x = 424,730 × 424,730
  4. Step 4: Simplify right side
    281,534x = 180,395,572,900
  5. Step 5: Solve for x
    x = 180,395,572,900/281,534
  6. Step 6: Final answer
    x = 640,759.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.