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Finding the Third Proportional to 288,160 and 424,787

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Solution

The third proportional to 288,160 and 424,787 is: 626,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,160 : 424,787 = 424,787 : x
  2. Step 2: Convert to fraction form
    288,160/424,787 = 424,787/x
  3. Step 3: Cross multiply
    288,160x = 424,787 × 424,787
  4. Step 4: Simplify right side
    288,160x = 180,443,995,369
  5. Step 5: Solve for x
    x = 180,443,995,369/288,160
  6. Step 6: Final answer
    x = 626,193.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.