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Finding the Third Proportional to 538,390 and 834,053

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Solution

The third proportional to 538,390 and 834,053 is: 1,292,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,390 : 834,053 = 834,053 : x
  2. Step 2: Convert to fraction form
    538,390/834,053 = 834,053/x
  3. Step 3: Cross multiply
    538,390x = 834,053 × 834,053
  4. Step 4: Simplify right side
    538,390x = 695,644,406,809
  5. Step 5: Solve for x
    x = 695,644,406,809/538,390
  6. Step 6: Final answer
    x = 1,292,082.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.