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Finding the Third Proportional to 230,516 and 342,434

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Solution

The third proportional to 230,516 and 342,434 is: 508,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,516 : 342,434 = 342,434 : x
  2. Step 2: Convert to fraction form
    230,516/342,434 = 342,434/x
  3. Step 3: Cross multiply
    230,516x = 342,434 × 342,434
  4. Step 4: Simplify right side
    230,516x = 117,261,044,356
  5. Step 5: Solve for x
    x = 117,261,044,356/230,516
  6. Step 6: Final answer
    x = 508,689.39

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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.