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Finding the Third Proportional to 390,416 and 814,720

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Solution

The third proportional to 390,416 and 814,720 is: 1,700,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,416 : 814,720 = 814,720 : x
  2. Step 2: Convert to fraction form
    390,416/814,720 = 814,720/x
  3. Step 3: Cross multiply
    390,416x = 814,720 × 814,720
  4. Step 4: Simplify right side
    390,416x = 663,768,678,400
  5. Step 5: Solve for x
    x = 663,768,678,400/390,416
  6. Step 6: Final answer
    x = 1,700,157.47

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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.