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Finding the Third Proportional to 391,270.50 and 824,569.50

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Solution

The third proportional to 391,270.50 and 824,569.50 is: 1,737,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,270.50 : 824,569.50 = 824,569.50 : x
  2. Step 2: Convert to fraction form
    391,270.50/824,569.50 = 824,569.50/x
  3. Step 3: Cross multiply
    391,270.50x = 824,569.50 × 824,569.50
  4. Step 4: Simplify right side
    391,270.50x = 679,914,860,330.25
  5. Step 5: Solve for x
    x = 679,914,860,330.25/391,270.50
  6. Step 6: Final answer
    x = 1,737,710.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.