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Finding the Third Proportional to 460,274 and 621,859

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Solution

The third proportional to 460,274 and 621,859 is: 840,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,274 : 621,859 = 621,859 : x
  2. Step 2: Convert to fraction form
    460,274/621,859 = 621,859/x
  3. Step 3: Cross multiply
    460,274x = 621,859 × 621,859
  4. Step 4: Simplify right side
    460,274x = 386,708,615,881
  5. Step 5: Solve for x
    x = 386,708,615,881/460,274
  6. Step 6: Final answer
    x = 840,170.45

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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.