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Finding the Third Proportional to 276,328 and 572,312

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Solution

The third proportional to 276,328 and 572,312 is: 1,185,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,328 : 572,312 = 572,312 : x
  2. Step 2: Convert to fraction form
    276,328/572,312 = 572,312/x
  3. Step 3: Cross multiply
    276,328x = 572,312 × 572,312
  4. Step 4: Simplify right side
    276,328x = 327,541,025,344
  5. Step 5: Solve for x
    x = 327,541,025,344/276,328
  6. Step 6: Final answer
    x = 1,185,334.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.