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Finding the Third Proportional to 230,371 and 343,780

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Solution

The third proportional to 230,371 and 343,780 is: 513,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,371 : 343,780 = 343,780 : x
  2. Step 2: Convert to fraction form
    230,371/343,780 = 343,780/x
  3. Step 3: Cross multiply
    230,371x = 343,780 × 343,780
  4. Step 4: Simplify right side
    230,371x = 118,184,688,400
  5. Step 5: Solve for x
    x = 118,184,688,400/230,371
  6. Step 6: Final answer
    x = 513,018.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.