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Finding the Third Proportional to 144,209 and 312,754

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Solution

The third proportional to 144,209 and 312,754 is: 678,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,209 : 312,754 = 312,754 : x
  2. Step 2: Convert to fraction form
    144,209/312,754 = 312,754/x
  3. Step 3: Cross multiply
    144,209x = 312,754 × 312,754
  4. Step 4: Simplify right side
    144,209x = 97,815,064,516
  5. Step 5: Solve for x
    x = 97,815,064,516/144,209
  6. Step 6: Final answer
    x = 678,286.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.