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Finding the Third Proportional to 66,807 and 144,522

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Solution

The third proportional to 66,807 and 144,522 is: 312,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,807 : 144,522 = 144,522 : x
  2. Step 2: Convert to fraction form
    66,807/144,522 = 144,522/x
  3. Step 3: Cross multiply
    66,807x = 144,522 × 144,522
  4. Step 4: Simplify right side
    66,807x = 20,886,608,484
  5. Step 5: Solve for x
    x = 20,886,608,484/66,807
  6. Step 6: Final answer
    x = 312,641.02

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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.