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Finding the Third Proportional to 391,913.25 and 586,346.25

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Solution

The third proportional to 391,913.25 and 586,346.25 is: 877,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,913.25 : 586,346.25 = 586,346.25 : x
  2. Step 2: Convert to fraction form
    391,913.25/586,346.25 = 586,346.25/x
  3. Step 3: Cross multiply
    391,913.25x = 586,346.25 × 586,346.25
  4. Step 4: Simplify right side
    391,913.25x = 343,801,924,889.06
  5. Step 5: Solve for x
    x = 343,801,924,889.06/391,913.25
  6. Step 6: Final answer
    x = 877,239.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.