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Finding the Third Proportional to 66,429 and 144,522

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Solution

The third proportional to 66,429 and 144,522 is: 314,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,429 : 144,522 = 144,522 : x
  2. Step 2: Convert to fraction form
    66,429/144,522 = 144,522/x
  3. Step 3: Cross multiply
    66,429x = 144,522 × 144,522
  4. Step 4: Simplify right side
    66,429x = 20,886,608,484
  5. Step 5: Solve for x
    x = 20,886,608,484/66,429
  6. Step 6: Final answer
    x = 314,420.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.