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Finding the Third Proportional to 61,970 and 135,820

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Solution

The third proportional to 61,970 and 135,820 is: 297,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,970 : 135,820 = 135,820 : x
  2. Step 2: Convert to fraction form
    61,970/135,820 = 135,820/x
  3. Step 3: Cross multiply
    61,970x = 135,820 × 135,820
  4. Step 4: Simplify right side
    61,970x = 18,447,072,400
  5. Step 5: Solve for x
    x = 18,447,072,400/61,970
  6. Step 6: Final answer
    x = 297,677.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.