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Finding the Third Proportional to 317,040 and 747,648.75

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Solution

The third proportional to 317,040 and 747,648.75 is: 1,763,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,040 : 747,648.75 = 747,648.75 : x
  2. Step 2: Convert to fraction form
    317,040/747,648.75 = 747,648.75/x
  3. Step 3: Cross multiply
    317,040x = 747,648.75 × 747,648.75
  4. Step 4: Simplify right side
    317,040x = 558,978,653,376.56
  5. Step 5: Solve for x
    x = 558,978,653,376.56/317,040
  6. Step 6: Final answer
    x = 1,763,117.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.