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Finding the Third Proportional to 296,464 and 648,287

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Solution

The third proportional to 296,464 and 648,287 is: 1,417,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,464 : 648,287 = 648,287 : x
  2. Step 2: Convert to fraction form
    296,464/648,287 = 648,287/x
  3. Step 3: Cross multiply
    296,464x = 648,287 × 648,287
  4. Step 4: Simplify right side
    296,464x = 420,276,034,369
  5. Step 5: Solve for x
    x = 420,276,034,369/296,464
  6. Step 6: Final answer
    x = 1,417,629.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.