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Finding the Third Proportional to 30,590 and 66,076

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Solution

The third proportional to 30,590 and 66,076 is: 142,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590 : 66,076 = 66,076 : x
  2. Step 2: Convert to fraction form
    30,590/66,076 = 66,076/x
  3. Step 3: Cross multiply
    30,590x = 66,076 × 66,076
  4. Step 4: Simplify right side
    30,590x = 4,366,037,776
  5. Step 5: Solve for x
    x = 4,366,037,776/30,590
  6. Step 6: Final answer
    x = 142,727.62

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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.