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Finding the Third Proportional to 343,602 and 520,155

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Solution

The third proportional to 343,602 and 520,155 is: 787,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,602 : 520,155 = 520,155 : x
  2. Step 2: Convert to fraction form
    343,602/520,155 = 520,155/x
  3. Step 3: Cross multiply
    343,602x = 520,155 × 520,155
  4. Step 4: Simplify right side
    343,602x = 270,561,224,025
  5. Step 5: Solve for x
    x = 270,561,224,025/343,602
  6. Step 6: Final answer
    x = 787,426.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.