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Finding the Third Proportional to 66,516 and 99,770

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Solution

The third proportional to 66,516 and 99,770 is: 149,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,516 : 99,770 = 99,770 : x
  2. Step 2: Convert to fraction form
    66,516/99,770 = 99,770/x
  3. Step 3: Cross multiply
    66,516x = 99,770 × 99,770
  4. Step 4: Simplify right side
    66,516x = 9,954,052,900
  5. Step 5: Solve for x
    x = 9,954,052,900/66,516
  6. Step 6: Final answer
    x = 149,649.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.