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Finding the Third Proportional to 781,731 and 1,238,841

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Solution

The third proportional to 781,731 and 1,238,841 is: 1,963,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,731 : 1,238,841 = 1,238,841 : x
  2. Step 2: Convert to fraction form
    781,731/1,238,841 = 1,238,841/x
  3. Step 3: Cross multiply
    781,731x = 1,238,841 × 1,238,841
  4. Step 4: Simplify right side
    781,731x = 1,534,727,023,281
  5. Step 5: Solve for x
    x = 1,534,727,023,281/781,731
  6. Step 6: Final answer
    x = 1,963,241.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.