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Finding the Third Proportional to 130,712 and 201,940

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Solution

The third proportional to 130,712 and 201,940 is: 311,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,712 : 201,940 = 201,940 : x
  2. Step 2: Convert to fraction form
    130,712/201,940 = 201,940/x
  3. Step 3: Cross multiply
    130,712x = 201,940 × 201,940
  4. Step 4: Simplify right side
    130,712x = 40,779,763,600
  5. Step 5: Solve for x
    x = 40,779,763,600/130,712
  6. Step 6: Final answer
    x = 311,981.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.