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Finding the Third Proportional to 387,347 and 830,726

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Solution

The third proportional to 387,347 and 830,726 is: 1,781,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,347 : 830,726 = 830,726 : x
  2. Step 2: Convert to fraction form
    387,347/830,726 = 830,726/x
  3. Step 3: Cross multiply
    387,347x = 830,726 × 830,726
  4. Step 4: Simplify right side
    387,347x = 690,105,687,076
  5. Step 5: Solve for x
    x = 690,105,687,076/387,347
  6. Step 6: Final answer
    x = 1,781,621.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.