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Finding the Third Proportional to 291,478 and 428,882

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Solution

The third proportional to 291,478 and 428,882 is: 631,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,478 : 428,882 = 428,882 : x
  2. Step 2: Convert to fraction form
    291,478/428,882 = 428,882/x
  3. Step 3: Cross multiply
    291,478x = 428,882 × 428,882
  4. Step 4: Simplify right side
    291,478x = 183,939,769,924
  5. Step 5: Solve for x
    x = 183,939,769,924/291,478
  6. Step 6: Final answer
    x = 631,058.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.