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Finding the Third Proportional to 358,517.25 and 787,018.50

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Solution

The third proportional to 358,517.25 and 787,018.50 is: 1,727,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,517.25 : 787,018.50 = 787,018.50 : x
  2. Step 2: Convert to fraction form
    358,517.25/787,018.50 = 787,018.50/x
  3. Step 3: Cross multiply
    358,517.25x = 787,018.50 × 787,018.50
  4. Step 4: Simplify right side
    358,517.25x = 619,398,119,342.25
  5. Step 5: Solve for x
    x = 619,398,119,342.25/358,517.25
  6. Step 6: Final answer
    x = 1,727,666.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.