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Finding the Third Proportional to 144,693 and 312,781

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Solution

The third proportional to 144,693 and 312,781 is: 676,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,693 : 312,781 = 312,781 : x
  2. Step 2: Convert to fraction form
    144,693/312,781 = 312,781/x
  3. Step 3: Cross multiply
    144,693x = 312,781 × 312,781
  4. Step 4: Simplify right side
    144,693x = 97,831,953,961
  5. Step 5: Solve for x
    x = 97,831,953,961/144,693
  6. Step 6: Final answer
    x = 676,134.67

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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.