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Finding the Third Proportional to 390,459 and 791,784

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Solution

The third proportional to 390,459 and 791,784 is: 1,605,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,459 : 791,784 = 791,784 : x
  2. Step 2: Convert to fraction form
    390,459/791,784 = 791,784/x
  3. Step 3: Cross multiply
    390,459x = 791,784 × 791,784
  4. Step 4: Simplify right side
    390,459x = 626,921,902,656
  5. Step 5: Solve for x
    x = 626,921,902,656/390,459
  6. Step 6: Final answer
    x = 1,605,602.39

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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.