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Finding the Third Proportional to 359,966.53 and 777,660.75

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Solution

The third proportional to 359,966.53 and 777,660.75 is: 1,680,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,966.53 : 777,660.75 = 777,660.75 : x
  2. Step 2: Convert to fraction form
    359,966.53/777,660.75 = 777,660.75/x
  3. Step 3: Cross multiply
    359,966.53x = 777,660.75 × 777,660.75
  4. Step 4: Simplify right side
    359,966.53x = 604,756,242,090.56
  5. Step 5: Solve for x
    x = 604,756,242,090.56/359,966.53
  6. Step 6: Final answer
    x = 1,680,034.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.