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Finding the Third Proportional to 666,412 and 1,439,264

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Solution

The third proportional to 666,412 and 1,439,264 is: 3,108,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,412 : 1,439,264 = 1,439,264 : x
  2. Step 2: Convert to fraction form
    666,412/1,439,264 = 1,439,264/x
  3. Step 3: Cross multiply
    666,412x = 1,439,264 × 1,439,264
  4. Step 4: Simplify right side
    666,412x = 2,071,480,861,696
  5. Step 5: Solve for x
    x = 2,071,480,861,696/666,412
  6. Step 6: Final answer
    x = 3,108,408.70

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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.