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Finding the Third Proportional to 307,856 and 460,554

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Solution

The third proportional to 307,856 and 460,554 is: 688,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,856 : 460,554 = 460,554 : x
  2. Step 2: Convert to fraction form
    307,856/460,554 = 460,554/x
  3. Step 3: Cross multiply
    307,856x = 460,554 × 460,554
  4. Step 4: Simplify right side
    307,856x = 212,109,986,916
  5. Step 5: Solve for x
    x = 212,109,986,916/307,856
  6. Step 6: Final answer
    x = 688,990.91

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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.