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Finding the Third Proportional to 460,304 and 621,904

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Solution

The third proportional to 460,304 and 621,904 is: 840,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,304 : 621,904 = 621,904 : x
  2. Step 2: Convert to fraction form
    460,304/621,904 = 621,904/x
  3. Step 3: Cross multiply
    460,304x = 621,904 × 621,904
  4. Step 4: Simplify right side
    460,304x = 386,764,585,216
  5. Step 5: Solve for x
    x = 386,764,585,216/460,304
  6. Step 6: Final answer
    x = 840,237.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.