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Finding the Third Proportional to 310,360 and 459,718

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Solution

The third proportional to 310,360 and 459,718 is: 680,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,360 : 459,718 = 459,718 : x
  2. Step 2: Convert to fraction form
    310,360/459,718 = 459,718/x
  3. Step 3: Cross multiply
    310,360x = 459,718 × 459,718
  4. Step 4: Simplify right side
    310,360x = 211,340,639,524
  5. Step 5: Solve for x
    x = 211,340,639,524/310,360
  6. Step 6: Final answer
    x = 680,953.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.