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Finding the Third Proportional to 61,420 and 97,780

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Solution

The third proportional to 61,420 and 97,780 is: 155,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,420 : 97,780 = 97,780 : x
  2. Step 2: Convert to fraction form
    61,420/97,780 = 97,780/x
  3. Step 3: Cross multiply
    61,420x = 97,780 × 97,780
  4. Step 4: Simplify right side
    61,420x = 9,560,928,400
  5. Step 5: Solve for x
    x = 9,560,928,400/61,420
  6. Step 6: Final answer
    x = 155,664.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.