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Finding the Third Proportional to 391,218.19 and 824,468.63

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Solution

The third proportional to 391,218.19 and 824,468.63 is: 1,737,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,218.19 : 824,468.63 = 824,468.63 : x
  2. Step 2: Convert to fraction form
    391,218.19/824,468.63 = 824,468.63/x
  3. Step 3: Cross multiply
    391,218.19x = 824,468.63 × 824,468.63
  4. Step 4: Simplify right side
    391,218.19x = 679,748,513,609.39
  5. Step 5: Solve for x
    x = 679,748,513,609.39/391,218.19
  6. Step 6: Final answer
    x = 1,737,517.67

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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.