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Finding the Third Proportional to 130,342 and 201,503

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Solution

The third proportional to 130,342 and 201,503 is: 311,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,342 : 201,503 = 201,503 : x
  2. Step 2: Convert to fraction form
    130,342/201,503 = 201,503/x
  3. Step 3: Cross multiply
    130,342x = 201,503 × 201,503
  4. Step 4: Simplify right side
    130,342x = 40,603,459,009
  5. Step 5: Solve for x
    x = 40,603,459,009/130,342
  6. Step 6: Final answer
    x = 311,514.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.