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Finding the Third Proportional to 60,669 and 130,120

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Solution

The third proportional to 60,669 and 130,120 is: 279,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,669 : 130,120 = 130,120 : x
  2. Step 2: Convert to fraction form
    60,669/130,120 = 130,120/x
  3. Step 3: Cross multiply
    60,669x = 130,120 × 130,120
  4. Step 4: Simplify right side
    60,669x = 16,931,214,400
  5. Step 5: Solve for x
    x = 16,931,214,400/60,669
  6. Step 6: Final answer
    x = 279,075.22

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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.