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Finding the Third Proportional to 460,314 and 621,919

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Solution

The third proportional to 460,314 and 621,919 is: 840,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,314 : 621,919 = 621,919 : x
  2. Step 2: Convert to fraction form
    460,314/621,919 = 621,919/x
  3. Step 3: Cross multiply
    460,314x = 621,919 × 621,919
  4. Step 4: Simplify right side
    460,314x = 386,783,242,561
  5. Step 5: Solve for x
    x = 386,783,242,561/460,314
  6. Step 6: Final answer
    x = 840,259.57

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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.