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Finding the Third Proportional to 390,490 and 791,846

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Solution

The third proportional to 390,490 and 791,846 is: 1,605,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,490 : 791,846 = 791,846 : x
  2. Step 2: Convert to fraction form
    390,490/791,846 = 791,846/x
  3. Step 3: Cross multiply
    390,490x = 791,846 × 791,846
  4. Step 4: Simplify right side
    390,490x = 627,020,087,716
  5. Step 5: Solve for x
    x = 627,020,087,716/390,490
  6. Step 6: Final answer
    x = 1,605,726.36

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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.