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Finding the Third Proportional to 408,240 and 634,716

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Solution

The third proportional to 408,240 and 634,716 is: 986,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,240 : 634,716 = 634,716 : x
  2. Step 2: Convert to fraction form
    408,240/634,716 = 634,716/x
  3. Step 3: Cross multiply
    408,240x = 634,716 × 634,716
  4. Step 4: Simplify right side
    408,240x = 402,864,400,656
  5. Step 5: Solve for x
    x = 402,864,400,656/408,240
  6. Step 6: Final answer
    x = 986,832.26

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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.