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Finding the Third Proportional to 358,522 and 787,028

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Solution

The third proportional to 358,522 and 787,028 is: 1,727,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,522 : 787,028 = 787,028 : x
  2. Step 2: Convert to fraction form
    358,522/787,028 = 787,028/x
  3. Step 3: Cross multiply
    358,522x = 787,028 × 787,028
  4. Step 4: Simplify right side
    358,522x = 619,413,072,784
  5. Step 5: Solve for x
    x = 619,413,072,784/358,522
  6. Step 6: Final answer
    x = 1,727,684.98

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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.