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Finding the Third Proportional to 401,726 and 571,113

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Solution

The third proportional to 401,726 and 571,113 is: 811,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,726 : 571,113 = 571,113 : x
  2. Step 2: Convert to fraction form
    401,726/571,113 = 571,113/x
  3. Step 3: Cross multiply
    401,726x = 571,113 × 571,113
  4. Step 4: Simplify right side
    401,726x = 326,170,058,769
  5. Step 5: Solve for x
    x = 326,170,058,769/401,726
  6. Step 6: Final answer
    x = 811,921.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.