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Finding the Third Proportional to 144,207 and 312,750

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Solution

The third proportional to 144,207 and 312,750 is: 678,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207 : 312,750 = 312,750 : x
  2. Step 2: Convert to fraction form
    144,207/312,750 = 312,750/x
  3. Step 3: Cross multiply
    144,207x = 312,750 × 312,750
  4. Step 4: Simplify right side
    144,207x = 97,812,562,500
  5. Step 5: Solve for x
    x = 97,812,562,500/144,207
  6. Step 6: Final answer
    x = 678,278.88

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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.