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Finding the Third Proportional to 310,116 and 491,862

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Solution

The third proportional to 310,116 and 491,862 is: 780,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,116 : 491,862 = 491,862 : x
  2. Step 2: Convert to fraction form
    310,116/491,862 = 491,862/x
  3. Step 3: Cross multiply
    310,116x = 491,862 × 491,862
  4. Step 4: Simplify right side
    310,116x = 241,928,227,044
  5. Step 5: Solve for x
    x = 241,928,227,044/310,116
  6. Step 6: Final answer
    x = 780,121.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.