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Finding the Third Proportional to 66,294 and 144,927

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Solution

The third proportional to 66,294 and 144,927 is: 316,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,294 : 144,927 = 144,927 : x
  2. Step 2: Convert to fraction form
    66,294/144,927 = 144,927/x
  3. Step 3: Cross multiply
    66,294x = 144,927 × 144,927
  4. Step 4: Simplify right side
    66,294x = 21,003,835,329
  5. Step 5: Solve for x
    x = 21,003,835,329/66,294
  6. Step 6: Final answer
    x = 316,828.60

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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.