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Finding the Third Proportional to 61,106 and 128,362

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Solution

The third proportional to 61,106 and 128,362 is: 269,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,106 : 128,362 = 128,362 : x
  2. Step 2: Convert to fraction form
    61,106/128,362 = 128,362/x
  3. Step 3: Cross multiply
    61,106x = 128,362 × 128,362
  4. Step 4: Simplify right side
    61,106x = 16,476,803,044
  5. Step 5: Solve for x
    x = 16,476,803,044/61,106
  6. Step 6: Final answer
    x = 269,642.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.