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Finding the Third Proportional to 359,886.38 and 787,569.75

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Solution

The third proportional to 359,886.38 and 787,569.75 is: 1,723,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,886.38 : 787,569.75 = 787,569.75 : x
  2. Step 2: Convert to fraction form
    359,886.38/787,569.75 = 787,569.75/x
  3. Step 3: Cross multiply
    359,886.38x = 787,569.75 × 787,569.75
  4. Step 4: Simplify right side
    359,886.38x = 620,266,111,115.06
  5. Step 5: Solve for x
    x = 620,266,111,115.06/359,886.38
  6. Step 6: Final answer
    x = 1,723,505.40

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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.