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Finding the Third Proportional to 66,503 and 147,769

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Solution

The third proportional to 66,503 and 147,769 is: 328,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,503 : 147,769 = 147,769 : x
  2. Step 2: Convert to fraction form
    66,503/147,769 = 147,769/x
  3. Step 3: Cross multiply
    66,503x = 147,769 × 147,769
  4. Step 4: Simplify right side
    66,503x = 21,835,677,361
  5. Step 5: Solve for x
    x = 21,835,677,361/66,503
  6. Step 6: Final answer
    x = 328,341.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.