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Finding the Third Proportional to 310,114 and 491,859

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Solution

The third proportional to 310,114 and 491,859 is: 780,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,114 : 491,859 = 491,859 : x
  2. Step 2: Convert to fraction form
    310,114/491,859 = 491,859/x
  3. Step 3: Cross multiply
    310,114x = 491,859 × 491,859
  4. Step 4: Simplify right side
    310,114x = 241,925,275,881
  5. Step 5: Solve for x
    x = 241,925,275,881/310,114
  6. Step 6: Final answer
    x = 780,117.23

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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.