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Finding the Third Proportional to 403,904 and 627,146

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Solution

The third proportional to 403,904 and 627,146 is: 973,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,904 : 627,146 = 627,146 : x
  2. Step 2: Convert to fraction form
    403,904/627,146 = 627,146/x
  3. Step 3: Cross multiply
    403,904x = 627,146 × 627,146
  4. Step 4: Simplify right side
    403,904x = 393,312,105,316
  5. Step 5: Solve for x
    x = 393,312,105,316/403,904
  6. Step 6: Final answer
    x = 973,776.21

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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.