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Finding the Third Proportional to 458,476 and 633,486

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Solution

The third proportional to 458,476 and 633,486 is: 875,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,476 : 633,486 = 633,486 : x
  2. Step 2: Convert to fraction form
    458,476/633,486 = 633,486/x
  3. Step 3: Cross multiply
    458,476x = 633,486 × 633,486
  4. Step 4: Simplify right side
    458,476x = 401,304,512,196
  5. Step 5: Solve for x
    x = 401,304,512,196/458,476
  6. Step 6: Final answer
    x = 875,301.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.