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Finding the Third Proportional to 571,755 and 751,846.50

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Solution

The third proportional to 571,755 and 751,846.50 is: 988,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,755 : 751,846.50 = 751,846.50 : x
  2. Step 2: Convert to fraction form
    571,755/751,846.50 = 751,846.50/x
  3. Step 3: Cross multiply
    571,755x = 751,846.50 × 751,846.50
  4. Step 4: Simplify right side
    571,755x = 565,273,159,562.25
  5. Step 5: Solve for x
    x = 565,273,159,562.25/571,755
  6. Step 6: Final answer
    x = 988,663.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.