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Finding the Third Proportional to 61,511 and 130,677

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Solution

The third proportional to 61,511 and 130,677 is: 277,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,511 : 130,677 = 130,677 : x
  2. Step 2: Convert to fraction form
    61,511/130,677 = 130,677/x
  3. Step 3: Cross multiply
    61,511x = 130,677 × 130,677
  4. Step 4: Simplify right side
    61,511x = 17,076,478,329
  5. Step 5: Solve for x
    x = 17,076,478,329/61,511
  6. Step 6: Final answer
    x = 277,616.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.