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Finding the Third Proportional to 30,369 and 66,587

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Solution

The third proportional to 30,369 and 66,587 is: 145,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,369 : 66,587 = 66,587 : x
  2. Step 2: Convert to fraction form
    30,369/66,587 = 66,587/x
  3. Step 3: Cross multiply
    30,369x = 66,587 × 66,587
  4. Step 4: Simplify right side
    30,369x = 4,433,828,569
  5. Step 5: Solve for x
    x = 4,433,828,569/30,369
  6. Step 6: Final answer
    x = 145,998.50

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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.