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Finding the Third Proportional to 66,528 and 143,424

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Solution

The third proportional to 66,528 and 143,424 is: 309,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,528 : 143,424 = 143,424 : x
  2. Step 2: Convert to fraction form
    66,528/143,424 = 143,424/x
  3. Step 3: Cross multiply
    66,528x = 143,424 × 143,424
  4. Step 4: Simplify right side
    66,528x = 20,570,443,776
  5. Step 5: Solve for x
    x = 20,570,443,776/66,528
  6. Step 6: Final answer
    x = 309,199.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.