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Finding the Third Proportional to 368,510 and 781,305

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Solution

The third proportional to 368,510 and 781,305 is: 1,656,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,510 : 781,305 = 781,305 : x
  2. Step 2: Convert to fraction form
    368,510/781,305 = 781,305/x
  3. Step 3: Cross multiply
    368,510x = 781,305 × 781,305
  4. Step 4: Simplify right side
    368,510x = 610,437,503,025
  5. Step 5: Solve for x
    x = 610,437,503,025/368,510
  6. Step 6: Final answer
    x = 1,656,501.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.