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Finding the Third Proportional to 66,477 and 145,470

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Solution

The third proportional to 66,477 and 145,470 is: 318,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477 : 145,470 = 145,470 : x
  2. Step 2: Convert to fraction form
    66,477/145,470 = 145,470/x
  3. Step 3: Cross multiply
    66,477x = 145,470 × 145,470
  4. Step 4: Simplify right side
    66,477x = 21,161,520,900
  5. Step 5: Solve for x
    x = 21,161,520,900/66,477
  6. Step 6: Final answer
    x = 318,328.46

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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.