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Finding the Third Proportional to 66,485 and 145,486

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Solution

The third proportional to 66,485 and 145,486 is: 318,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,485 : 145,486 = 145,486 : x
  2. Step 2: Convert to fraction form
    66,485/145,486 = 145,486/x
  3. Step 3: Cross multiply
    66,485x = 145,486 × 145,486
  4. Step 4: Simplify right side
    66,485x = 21,166,176,196
  5. Step 5: Solve for x
    x = 21,166,176,196/66,485
  6. Step 6: Final answer
    x = 318,360.17

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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.