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Finding the Third Proportional to 343,604 and 520,158

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Solution

The third proportional to 343,604 and 520,158 is: 787,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,604 : 520,158 = 520,158 : x
  2. Step 2: Convert to fraction form
    343,604/520,158 = 520,158/x
  3. Step 3: Cross multiply
    343,604x = 520,158 × 520,158
  4. Step 4: Simplify right side
    343,604x = 270,564,344,964
  5. Step 5: Solve for x
    x = 270,564,344,964/343,604
  6. Step 6: Final answer
    x = 787,430.72

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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.