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Finding the Third Proportional to 384,001.50 and 509,553

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Solution

The third proportional to 384,001.50 and 509,553 is: 676,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,001.50 : 509,553 = 509,553 : x
  2. Step 2: Convert to fraction form
    384,001.50/509,553 = 509,553/x
  3. Step 3: Cross multiply
    384,001.50x = 509,553 × 509,553
  4. Step 4: Simplify right side
    384,001.50x = 259,644,259,809
  5. Step 5: Solve for x
    x = 259,644,259,809/384,001.50
  6. Step 6: Final answer
    x = 676,154.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.