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Finding the Third Proportional to 359,969.06 and 777,665.81

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Solution

The third proportional to 359,969.06 and 777,665.81 is: 1,680,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,969.06 : 777,665.81 = 777,665.81 : x
  2. Step 2: Convert to fraction form
    359,969.06/777,665.81 = 777,665.81/x
  3. Step 3: Cross multiply
    359,969.06x = 777,665.81 × 777,665.81
  4. Step 4: Simplify right side
    359,969.06x = 604,764,115,931.29
  5. Step 5: Solve for x
    x = 604,764,115,931.29/359,969.06
  6. Step 6: Final answer
    x = 1,680,044.70

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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.