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Finding the Third Proportional to 678,857.06 and 935,132.06

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Solution

The third proportional to 678,857.06 and 935,132.06 is: 1,288,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,857.06 : 935,132.06 = 935,132.06 : x
  2. Step 2: Convert to fraction form
    678,857.06/935,132.06 = 935,132.06/x
  3. Step 3: Cross multiply
    678,857.06x = 935,132.06 × 935,132.06
  4. Step 4: Simplify right side
    678,857.06x = 874,471,974,315.50
  5. Step 5: Solve for x
    x = 874,471,974,315.50/678,857.06
  6. Step 6: Final answer
    x = 1,288,153.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.