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Finding the Third Proportional to 288,156 and 632,362

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Solution

The third proportional to 288,156 and 632,362 is: 1,387,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,156 : 632,362 = 632,362 : x
  2. Step 2: Convert to fraction form
    288,156/632,362 = 632,362/x
  3. Step 3: Cross multiply
    288,156x = 632,362 × 632,362
  4. Step 4: Simplify right side
    288,156x = 399,881,699,044
  5. Step 5: Solve for x
    x = 399,881,699,044/288,156
  6. Step 6: Final answer
    x = 1,387,726.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.