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Finding the Third Proportional to 431,977.50 and 608,053.50

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Solution

The third proportional to 431,977.50 and 608,053.50 is: 855,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,977.50 : 608,053.50 = 608,053.50 : x
  2. Step 2: Convert to fraction form
    431,977.50/608,053.50 = 608,053.50/x
  3. Step 3: Cross multiply
    431,977.50x = 608,053.50 × 608,053.50
  4. Step 4: Simplify right side
    431,977.50x = 369,729,058,862.25
  5. Step 5: Solve for x
    x = 369,729,058,862.25/431,977.50
  6. Step 6: Final answer
    x = 855,898.88

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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.