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Finding the Third Proportional to 426,772 and 660,768

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Solution

The third proportional to 426,772 and 660,768 is: 1,023,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,772 : 660,768 = 660,768 : x
  2. Step 2: Convert to fraction form
    426,772/660,768 = 660,768/x
  3. Step 3: Cross multiply
    426,772x = 660,768 × 660,768
  4. Step 4: Simplify right side
    426,772x = 436,614,349,824
  5. Step 5: Solve for x
    x = 436,614,349,824/426,772
  6. Step 6: Final answer
    x = 1,023,062.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.