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Finding the Third Proportional to 865,728 and 1,331,424

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Solution

The third proportional to 865,728 and 1,331,424 is: 2,047,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,728 : 1,331,424 = 1,331,424 : x
  2. Step 2: Convert to fraction form
    865,728/1,331,424 = 1,331,424/x
  3. Step 3: Cross multiply
    865,728x = 1,331,424 × 1,331,424
  4. Step 4: Simplify right side
    865,728x = 1,772,689,867,776
  5. Step 5: Solve for x
    x = 1,772,689,867,776/865,728
  6. Step 6: Final answer
    x = 2,047,629.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.