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Finding the Third Proportional to 307,971 and 460,703.25

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Solution

The third proportional to 307,971 and 460,703.25 is: 689,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,971 : 460,703.25 = 460,703.25 : x
  2. Step 2: Convert to fraction form
    307,971/460,703.25 = 460,703.25/x
  3. Step 3: Cross multiply
    307,971x = 460,703.25 × 460,703.25
  4. Step 4: Simplify right side
    307,971x = 212,247,484,560.56
  5. Step 5: Solve for x
    x = 212,247,484,560.56/307,971
  6. Step 6: Final answer
    x = 689,180.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.