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Finding the Third Proportional to 137,140 and 299,912

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Solution

The third proportional to 137,140 and 299,912 is: 655,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,140 : 299,912 = 299,912 : x
  2. Step 2: Convert to fraction form
    137,140/299,912 = 299,912/x
  3. Step 3: Cross multiply
    137,140x = 299,912 × 299,912
  4. Step 4: Simplify right side
    137,140x = 89,947,207,744
  5. Step 5: Solve for x
    x = 89,947,207,744/137,140
  6. Step 6: Final answer
    x = 655,878.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.