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Finding the Third Proportional to 247,320 and 459,288

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Solution

The third proportional to 247,320 and 459,288 is: 852,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,320 : 459,288 = 459,288 : x
  2. Step 2: Convert to fraction form
    247,320/459,288 = 459,288/x
  3. Step 3: Cross multiply
    247,320x = 459,288 × 459,288
  4. Step 4: Simplify right side
    247,320x = 210,945,466,944
  5. Step 5: Solve for x
    x = 210,945,466,944/247,320
  6. Step 6: Final answer
    x = 852,925.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.