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Finding the Third Proportional to 318,304 and 430,768

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Solution

The third proportional to 318,304 and 430,768 is: 582,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,304 : 430,768 = 430,768 : x
  2. Step 2: Convert to fraction form
    318,304/430,768 = 430,768/x
  3. Step 3: Cross multiply
    318,304x = 430,768 × 430,768
  4. Step 4: Simplify right side
    318,304x = 185,561,069,824
  5. Step 5: Solve for x
    x = 185,561,069,824/318,304
  6. Step 6: Final answer
    x = 582,968.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.