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Finding the Third Proportional to 390,460 and 791,785

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Solution

The third proportional to 390,460 and 791,785 is: 1,605,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,460 : 791,785 = 791,785 : x
  2. Step 2: Convert to fraction form
    390,460/791,785 = 791,785/x
  3. Step 3: Cross multiply
    390,460x = 791,785 × 791,785
  4. Step 4: Simplify right side
    390,460x = 626,923,486,225
  5. Step 5: Solve for x
    x = 626,923,486,225/390,460
  6. Step 6: Final answer
    x = 1,605,602.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.