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Finding the Third Proportional to 359,080 and 531,680

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Solution

The third proportional to 359,080 and 531,680 is: 787,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,080 : 531,680 = 531,680 : x
  2. Step 2: Convert to fraction form
    359,080/531,680 = 531,680/x
  3. Step 3: Cross multiply
    359,080x = 531,680 × 531,680
  4. Step 4: Simplify right side
    359,080x = 282,683,622,400
  5. Step 5: Solve for x
    x = 282,683,622,400/359,080
  6. Step 6: Final answer
    x = 787,244.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.