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Finding the Third Proportional to 403,628 and 625,124

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Solution

The third proportional to 403,628 and 625,124 is: 968,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,628 : 625,124 = 625,124 : x
  2. Step 2: Convert to fraction form
    403,628/625,124 = 625,124/x
  3. Step 3: Cross multiply
    403,628x = 625,124 × 625,124
  4. Step 4: Simplify right side
    403,628x = 390,780,015,376
  5. Step 5: Solve for x
    x = 390,780,015,376/403,628
  6. Step 6: Final answer
    x = 968,168.75

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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.