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Finding the Third Proportional to 408,998 and 631,737

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Solution

The third proportional to 408,998 and 631,737 is: 975,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,998 : 631,737 = 631,737 : x
  2. Step 2: Convert to fraction form
    408,998/631,737 = 631,737/x
  3. Step 3: Cross multiply
    408,998x = 631,737 × 631,737
  4. Step 4: Simplify right side
    408,998x = 399,091,637,169
  5. Step 5: Solve for x
    x = 399,091,637,169/408,998
  6. Step 6: Final answer
    x = 975,778.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.