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Finding the Third Proportional to 428,897 and 571,798

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Solution

The third proportional to 428,897 and 571,798 is: 762,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,897 : 571,798 = 571,798 : x
  2. Step 2: Convert to fraction form
    428,897/571,798 = 571,798/x
  3. Step 3: Cross multiply
    428,897x = 571,798 × 571,798
  4. Step 4: Simplify right side
    428,897x = 326,952,952,804
  5. Step 5: Solve for x
    x = 326,952,952,804/428,897
  6. Step 6: Final answer
    x = 762,311.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.