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Finding the Third Proportional to 632,508 and 978,319

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Solution

The third proportional to 632,508 and 978,319 is: 1,513,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,508 : 978,319 = 978,319 : x
  2. Step 2: Convert to fraction form
    632,508/978,319 = 978,319/x
  3. Step 3: Cross multiply
    632,508x = 978,319 × 978,319
  4. Step 4: Simplify right side
    632,508x = 957,108,065,761
  5. Step 5: Solve for x
    x = 957,108,065,761/632,508
  6. Step 6: Final answer
    x = 1,513,195.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.