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Finding the Third Proportional to 838,288 and 1,329,577

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Solution

The third proportional to 838,288 and 1,329,577 is: 2,108,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,288 : 1,329,577 = 1,329,577 : x
  2. Step 2: Convert to fraction form
    838,288/1,329,577 = 1,329,577/x
  3. Step 3: Cross multiply
    838,288x = 1,329,577 × 1,329,577
  4. Step 4: Simplify right side
    838,288x = 1,767,774,998,929
  5. Step 5: Solve for x
    x = 1,767,774,998,929/838,288
  6. Step 6: Final answer
    x = 2,108,791.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.