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Finding the Third Proportional to 294,594 and 639,084

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Solution

The third proportional to 294,594 and 639,084 is: 1,386,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,594 : 639,084 = 639,084 : x
  2. Step 2: Convert to fraction form
    294,594/639,084 = 639,084/x
  3. Step 3: Cross multiply
    294,594x = 639,084 × 639,084
  4. Step 4: Simplify right side
    294,594x = 408,428,359,056
  5. Step 5: Solve for x
    x = 408,428,359,056/294,594
  6. Step 6: Final answer
    x = 1,386,410.99

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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.