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Finding the Third Proportional to 570,019 and 801,721

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Solution

The third proportional to 570,019 and 801,721 is: 1,127,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,019 : 801,721 = 801,721 : x
  2. Step 2: Convert to fraction form
    570,019/801,721 = 801,721/x
  3. Step 3: Cross multiply
    570,019x = 801,721 × 801,721
  4. Step 4: Simplify right side
    570,019x = 642,756,561,841
  5. Step 5: Solve for x
    x = 642,756,561,841/570,019
  6. Step 6: Final answer
    x = 1,127,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.