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Finding the Third Proportional to 66,210 and 145,508

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Solution

The third proportional to 66,210 and 145,508 is: 319,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,210 : 145,508 = 145,508 : x
  2. Step 2: Convert to fraction form
    66,210/145,508 = 145,508/x
  3. Step 3: Cross multiply
    66,210x = 145,508 × 145,508
  4. Step 4: Simplify right side
    66,210x = 21,172,578,064
  5. Step 5: Solve for x
    x = 21,172,578,064/66,210
  6. Step 6: Final answer
    x = 319,779.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.