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Finding the Third Proportional to 418,344 and 640,080

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Solution

The third proportional to 418,344 and 640,080 is: 979,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,344 : 640,080 = 640,080 : x
  2. Step 2: Convert to fraction form
    418,344/640,080 = 640,080/x
  3. Step 3: Cross multiply
    418,344x = 640,080 × 640,080
  4. Step 4: Simplify right side
    418,344x = 409,702,406,400
  5. Step 5: Solve for x
    x = 409,702,406,400/418,344
  6. Step 6: Final answer
    x = 979,343.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.