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Finding the Third Proportional to 390,418 and 814,724

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Solution

The third proportional to 390,418 and 814,724 is: 1,700,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,418 : 814,724 = 814,724 : x
  2. Step 2: Convert to fraction form
    390,418/814,724 = 814,724/x
  3. Step 3: Cross multiply
    390,418x = 814,724 × 814,724
  4. Step 4: Simplify right side
    390,418x = 663,775,196,176
  5. Step 5: Solve for x
    x = 663,775,196,176/390,418
  6. Step 6: Final answer
    x = 1,700,165.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.