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Finding the Third Proportional to 431,301 and 662,022

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Solution

The third proportional to 431,301 and 662,022 is: 1,016,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,301 : 662,022 = 662,022 : x
  2. Step 2: Convert to fraction form
    431,301/662,022 = 662,022/x
  3. Step 3: Cross multiply
    431,301x = 662,022 × 662,022
  4. Step 4: Simplify right side
    431,301x = 438,273,128,484
  5. Step 5: Solve for x
    x = 438,273,128,484/431,301
  6. Step 6: Final answer
    x = 1,016,165.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.