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Finding the Third Proportional to 390,501 and 791,865

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Solution

The third proportional to 390,501 and 791,865 is: 1,605,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,501 : 791,865 = 791,865 : x
  2. Step 2: Convert to fraction form
    390,501/791,865 = 791,865/x
  3. Step 3: Cross multiply
    390,501x = 791,865 × 791,865
  4. Step 4: Simplify right side
    390,501x = 627,050,178,225
  5. Step 5: Solve for x
    x = 627,050,178,225/390,501
  6. Step 6: Final answer
    x = 1,605,758.19

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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.