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Finding the Third Proportional to 781,934 and 1,208,814

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Solution

The third proportional to 781,934 and 1,208,814 is: 1,868,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,934 : 1,208,814 = 1,208,814 : x
  2. Step 2: Convert to fraction form
    781,934/1,208,814 = 1,208,814/x
  3. Step 3: Cross multiply
    781,934x = 1,208,814 × 1,208,814
  4. Step 4: Simplify right side
    781,934x = 1,461,231,286,596
  5. Step 5: Solve for x
    x = 1,461,231,286,596/781,934
  6. Step 6: Final answer
    x = 1,868,739.93

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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.