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Finding the Third Proportional to 399,230 and 875,750

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Solution

The third proportional to 399,230 and 875,750 is: 1,921,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,230 : 875,750 = 875,750 : x
  2. Step 2: Convert to fraction form
    399,230/875,750 = 875,750/x
  3. Step 3: Cross multiply
    399,230x = 875,750 × 875,750
  4. Step 4: Simplify right side
    399,230x = 766,938,062,500
  5. Step 5: Solve for x
    x = 766,938,062,500/399,230
  6. Step 6: Final answer
    x = 1,921,043.16

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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.