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Finding the Third Proportional to 391,220 and 824,472.50

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Solution

The third proportional to 391,220 and 824,472.50 is: 1,737,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,220 : 824,472.50 = 824,472.50 : x
  2. Step 2: Convert to fraction form
    391,220/824,472.50 = 824,472.50/x
  3. Step 3: Cross multiply
    391,220x = 824,472.50 × 824,472.50
  4. Step 4: Simplify right side
    391,220x = 679,754,903,256.25
  5. Step 5: Solve for x
    x = 679,754,903,256.25/391,220
  6. Step 6: Final answer
    x = 1,737,525.95

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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.