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Finding the Third Proportional to 106,140 and 156,780

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Solution

The third proportional to 106,140 and 156,780 is: 231,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,140 : 156,780 = 156,780 : x
  2. Step 2: Convert to fraction form
    106,140/156,780 = 156,780/x
  3. Step 3: Cross multiply
    106,140x = 156,780 × 156,780
  4. Step 4: Simplify right side
    106,140x = 24,579,968,400
  5. Step 5: Solve for x
    x = 24,579,968,400/106,140
  6. Step 6: Final answer
    x = 231,580.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.