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Finding the Third Proportional to 30,782.50 and 66,487

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Solution

The third proportional to 30,782.50 and 66,487 is: 143,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.50 : 66,487 = 66,487 : x
  2. Step 2: Convert to fraction form
    30,782.50/66,487 = 66,487/x
  3. Step 3: Cross multiply
    30,782.50x = 66,487 × 66,487
  4. Step 4: Simplify right side
    30,782.50x = 4,420,521,169
  5. Step 5: Solve for x
    x = 4,420,521,169/30,782.50
  6. Step 6: Final answer
    x = 143,605.01

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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.