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Finding the Third Proportional to 156,938 and 348,747

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Solution

The third proportional to 156,938 and 348,747 is: 774,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,938 : 348,747 = 348,747 : x
  2. Step 2: Convert to fraction form
    156,938/348,747 = 348,747/x
  3. Step 3: Cross multiply
    156,938x = 348,747 × 348,747
  4. Step 4: Simplify right side
    156,938x = 121,624,470,009
  5. Step 5: Solve for x
    x = 121,624,470,009/156,938
  6. Step 6: Final answer
    x = 774,984.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.