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Finding the Third Proportional to 426,772 and 919,708

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Solution

The third proportional to 426,772 and 919,708 is: 1,982,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,772 : 919,708 = 919,708 : x
  2. Step 2: Convert to fraction form
    426,772/919,708 = 919,708/x
  3. Step 3: Cross multiply
    426,772x = 919,708 × 919,708
  4. Step 4: Simplify right side
    426,772x = 845,862,805,264
  5. Step 5: Solve for x
    x = 845,862,805,264/426,772
  6. Step 6: Final answer
    x = 1,982,001.64

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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.