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Finding the Third Proportional to 296,310 and 638,952

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Solution

The third proportional to 296,310 and 638,952 is: 1,377,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,310 : 638,952 = 638,952 : x
  2. Step 2: Convert to fraction form
    296,310/638,952 = 638,952/x
  3. Step 3: Cross multiply
    296,310x = 638,952 × 638,952
  4. Step 4: Simplify right side
    296,310x = 408,259,658,304
  5. Step 5: Solve for x
    x = 408,259,658,304/296,310
  6. Step 6: Final answer
    x = 1,377,812.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.