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Finding the Third Proportional to 137,985 and 202,435

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Solution

The third proportional to 137,985 and 202,435 is: 296,988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,985 : 202,435 = 202,435 : x
  2. Step 2: Convert to fraction form
    137,985/202,435 = 202,435/x
  3. Step 3: Cross multiply
    137,985x = 202,435 × 202,435
  4. Step 4: Simplify right side
    137,985x = 40,979,929,225
  5. Step 5: Solve for x
    x = 40,979,929,225/137,985
  6. Step 6: Final answer
    x = 296,988.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.