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Finding the Third Proportional to 359,693 and 787,912

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Solution

The third proportional to 359,693 and 787,912 is: 1,725,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,693 : 787,912 = 787,912 : x
  2. Step 2: Convert to fraction form
    359,693/787,912 = 787,912/x
  3. Step 3: Cross multiply
    359,693x = 787,912 × 787,912
  4. Step 4: Simplify right side
    359,693x = 620,805,319,744
  5. Step 5: Solve for x
    x = 620,805,319,744/359,693
  6. Step 6: Final answer
    x = 1,725,931.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.