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Finding the Third Proportional to 442,837.13 and 678,250.13

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Solution

The third proportional to 442,837.13 and 678,250.13 is: 1,038,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,837.13 : 678,250.13 = 678,250.13 : x
  2. Step 2: Convert to fraction form
    442,837.13/678,250.13 = 678,250.13/x
  3. Step 3: Cross multiply
    442,837.13x = 678,250.13 × 678,250.13
  4. Step 4: Simplify right side
    442,837.13x = 460,023,232,062.52
  5. Step 5: Solve for x
    x = 460,023,232,062.52/442,837.13
  6. Step 6: Final answer
    x = 1,038,809.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.