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Finding the Third Proportional to 308,914 and 460,651

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Solution

The third proportional to 308,914 and 460,651 is: 686,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,914 : 460,651 = 460,651 : x
  2. Step 2: Convert to fraction form
    308,914/460,651 = 460,651/x
  3. Step 3: Cross multiply
    308,914x = 460,651 × 460,651
  4. Step 4: Simplify right side
    308,914x = 212,199,343,801
  5. Step 5: Solve for x
    x = 212,199,343,801/308,914
  6. Step 6: Final answer
    x = 686,920.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.