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Finding the Third Proportional to 399,225 and 875,742

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Solution

The third proportional to 399,225 and 875,742 is: 1,921,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,225 : 875,742 = 875,742 : x
  2. Step 2: Convert to fraction form
    399,225/875,742 = 875,742/x
  3. Step 3: Cross multiply
    399,225x = 875,742 × 875,742
  4. Step 4: Simplify right side
    399,225x = 766,924,050,564
  5. Step 5: Solve for x
    x = 766,924,050,564/399,225
  6. Step 6: Final answer
    x = 1,921,032.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.