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Finding the Third Proportional to 359,041.13 and 777,920.06

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Solution

The third proportional to 359,041.13 and 777,920.06 is: 1,685,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,041.13 : 777,920.06 = 777,920.06 : x
  2. Step 2: Convert to fraction form
    359,041.13/777,920.06 = 777,920.06/x
  3. Step 3: Cross multiply
    359,041.13x = 777,920.06 × 777,920.06
  4. Step 4: Simplify right side
    359,041.13x = 605,159,623,640.00
  5. Step 5: Solve for x
    x = 605,159,623,640.00/359,041.13
  6. Step 6: Final answer
    x = 1,685,488.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.