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Finding the Third Proportional to 310,142 and 491,905

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Solution

The third proportional to 310,142 and 491,905 is: 780,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,142 : 491,905 = 491,905 : x
  2. Step 2: Convert to fraction form
    310,142/491,905 = 491,905/x
  3. Step 3: Cross multiply
    310,142x = 491,905 × 491,905
  4. Step 4: Simplify right side
    310,142x = 241,970,529,025
  5. Step 5: Solve for x
    x = 241,970,529,025/310,142
  6. Step 6: Final answer
    x = 780,192.72

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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.