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Finding the Third Proportional to 61,680 and 128,209

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Solution

The third proportional to 61,680 and 128,209 is: 266,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,680 : 128,209 = 128,209 : x
  2. Step 2: Convert to fraction form
    61,680/128,209 = 128,209/x
  3. Step 3: Cross multiply
    61,680x = 128,209 × 128,209
  4. Step 4: Simplify right side
    61,680x = 16,437,547,681
  5. Step 5: Solve for x
    x = 16,437,547,681/61,680
  6. Step 6: Final answer
    x = 266,497.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.