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Finding the Third Proportional to 144,428 and 315,100

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Solution

The third proportional to 144,428 and 315,100 is: 687,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,428 : 315,100 = 315,100 : x
  2. Step 2: Convert to fraction form
    144,428/315,100 = 315,100/x
  3. Step 3: Cross multiply
    144,428x = 315,100 × 315,100
  4. Step 4: Simplify right side
    144,428x = 99,288,010,000
  5. Step 5: Solve for x
    x = 99,288,010,000/144,428
  6. Step 6: Final answer
    x = 687,456.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.