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Finding the Third Proportional to 328,080 and 715,452

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Solution

The third proportional to 328,080 and 715,452 is: 1,560,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,080 : 715,452 = 715,452 : x
  2. Step 2: Convert to fraction form
    328,080/715,452 = 715,452/x
  3. Step 3: Cross multiply
    328,080x = 715,452 × 715,452
  4. Step 4: Simplify right side
    328,080x = 511,871,564,304
  5. Step 5: Solve for x
    x = 511,871,564,304/328,080
  6. Step 6: Final answer
    x = 1,560,203.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.