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Finding the Third Proportional to 30,584 and 66,776

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Solution

The third proportional to 30,584 and 66,776 is: 145,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584 : 66,776 = 66,776 : x
  2. Step 2: Convert to fraction form
    30,584/66,776 = 66,776/x
  3. Step 3: Cross multiply
    30,584x = 66,776 × 66,776
  4. Step 4: Simplify right side
    30,584x = 4,459,034,176
  5. Step 5: Solve for x
    x = 4,459,034,176/30,584
  6. Step 6: Final answer
    x = 145,796.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.