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Finding the Third Proportional to 60,835 and 130,270

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Solution

The third proportional to 60,835 and 130,270 is: 278,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,835 : 130,270 = 130,270 : x
  2. Step 2: Convert to fraction form
    60,835/130,270 = 130,270/x
  3. Step 3: Cross multiply
    60,835x = 130,270 × 130,270
  4. Step 4: Simplify right side
    60,835x = 16,970,272,900
  5. Step 5: Solve for x
    x = 16,970,272,900/60,835
  6. Step 6: Final answer
    x = 278,955.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.