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Finding the Third Proportional to 137,153 and 299,938

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Solution

The third proportional to 137,153 and 299,938 is: 655,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,153 : 299,938 = 299,938 : x
  2. Step 2: Convert to fraction form
    137,153/299,938 = 299,938/x
  3. Step 3: Cross multiply
    137,153x = 299,938 × 299,938
  4. Step 4: Simplify right side
    137,153x = 89,962,803,844
  5. Step 5: Solve for x
    x = 89,962,803,844/137,153
  6. Step 6: Final answer
    x = 655,930.27

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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.