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Finding the Third Proportional to 296,364 and 648,942

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Solution

The third proportional to 296,364 and 648,942 is: 1,420,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,364 : 648,942 = 648,942 : x
  2. Step 2: Convert to fraction form
    296,364/648,942 = 648,942/x
  3. Step 3: Cross multiply
    296,364x = 648,942 × 648,942
  4. Step 4: Simplify right side
    296,364x = 421,125,719,364
  5. Step 5: Solve for x
    x = 421,125,719,364/296,364
  6. Step 6: Final answer
    x = 1,420,974.61

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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.