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Finding the Third Proportional to 310,830.75 and 456,046.88

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Solution

The third proportional to 310,830.75 and 456,046.88 is: 669,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,830.75 : 456,046.88 = 456,046.88 : x
  2. Step 2: Convert to fraction form
    310,830.75/456,046.88 = 456,046.88/x
  3. Step 3: Cross multiply
    310,830.75x = 456,046.88 × 456,046.88
  4. Step 4: Simplify right side
    310,830.75x = 207,978,752,197.27
  5. Step 5: Solve for x
    x = 207,978,752,197.27/310,830.75
  6. Step 6: Final answer
    x = 669,106.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.