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Finding the Third Proportional to 280,089 and 424,363

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Solution

The third proportional to 280,089 and 424,363 is: 642,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,089 : 424,363 = 424,363 : x
  2. Step 2: Convert to fraction form
    280,089/424,363 = 424,363/x
  3. Step 3: Cross multiply
    280,089x = 424,363 × 424,363
  4. Step 4: Simplify right side
    280,089x = 180,083,955,769
  5. Step 5: Solve for x
    x = 180,083,955,769/280,089
  6. Step 6: Final answer
    x = 642,952.62

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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.