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Finding the Third Proportional to 456,470 and 992,287

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Solution

The third proportional to 456,470 and 992,287 is: 2,157,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470 : 992,287 = 992,287 : x
  2. Step 2: Convert to fraction form
    456,470/992,287 = 992,287/x
  3. Step 3: Cross multiply
    456,470x = 992,287 × 992,287
  4. Step 4: Simplify right side
    456,470x = 984,633,490,369
  5. Step 5: Solve for x
    x = 984,633,490,369/456,470
  6. Step 6: Final answer
    x = 2,157,060.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.