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Finding the Third Proportional to 310,614.75 and 490,951.13

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Solution

The third proportional to 310,614.75 and 490,951.13 is: 775,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,614.75 : 490,951.13 = 490,951.13 : x
  2. Step 2: Convert to fraction form
    310,614.75/490,951.13 = 490,951.13/x
  3. Step 3: Cross multiply
    310,614.75x = 490,951.13 × 490,951.13
  4. Step 4: Simplify right side
    310,614.75x = 241,033,007,138.77
  5. Step 5: Solve for x
    x = 241,033,007,138.77/310,614.75
  6. Step 6: Final answer
    x = 775,987.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.