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Finding the Third Proportional to 310,141 and 491,903.50

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Solution

The third proportional to 310,141 and 491,903.50 is: 780,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,141 : 491,903.50 = 491,903.50 : x
  2. Step 2: Convert to fraction form
    310,141/491,903.50 = 491,903.50/x
  3. Step 3: Cross multiply
    310,141x = 491,903.50 × 491,903.50
  4. Step 4: Simplify right side
    310,141x = 241,969,053,312.25
  5. Step 5: Solve for x
    x = 241,969,053,312.25/310,141
  6. Step 6: Final answer
    x = 780,190.47

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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.