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Finding the Third Proportional to 278,528 and 424,320

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Solution

The third proportional to 278,528 and 424,320 is: 646,425

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,528 : 424,320 = 424,320 : x
  2. Step 2: Convert to fraction form
    278,528/424,320 = 424,320/x
  3. Step 3: Cross multiply
    278,528x = 424,320 × 424,320
  4. Step 4: Simplify right side
    278,528x = 180,047,462,400
  5. Step 5: Solve for x
    x = 180,047,462,400/278,528
  6. Step 6: Final answer
    x = 646,425

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.