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Finding the Third Proportional to 359,538.75 and 775,139.63

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Solution

The third proportional to 359,538.75 and 775,139.63 is: 1,671,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,538.75 : 775,139.63 = 775,139.63 : x
  2. Step 2: Convert to fraction form
    359,538.75/775,139.63 = 775,139.63/x
  3. Step 3: Cross multiply
    359,538.75x = 775,139.63 × 775,139.63
  4. Step 4: Simplify right side
    359,538.75x = 600,841,438,245.14
  5. Step 5: Solve for x
    x = 600,841,438,245.14/359,538.75
  6. Step 6: Final answer
    x = 1,671,145.15

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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.