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Finding the Third Proportional to 144,212 and 312,760

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Solution

The third proportional to 144,212 and 312,760 is: 678,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,212 : 312,760 = 312,760 : x
  2. Step 2: Convert to fraction form
    144,212/312,760 = 312,760/x
  3. Step 3: Cross multiply
    144,212x = 312,760 × 312,760
  4. Step 4: Simplify right side
    144,212x = 97,818,817,600
  5. Step 5: Solve for x
    x = 97,818,817,600/144,212
  6. Step 6: Final answer
    x = 678,298.74

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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.