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Finding the Third Proportional to 316,708.88 and 490,811.06

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Solution

The third proportional to 316,708.88 and 490,811.06 is: 760,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,708.88 : 490,811.06 = 490,811.06 : x
  2. Step 2: Convert to fraction form
    316,708.88/490,811.06 = 490,811.06/x
  3. Step 3: Cross multiply
    316,708.88x = 490,811.06 × 490,811.06
  4. Step 4: Simplify right side
    316,708.88x = 240,895,499,072.38
  5. Step 5: Solve for x
    x = 240,895,499,072.38/316,708.88
  6. Step 6: Final answer
    x = 760,621.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.