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Finding the Third Proportional to 344,191 and 506,156

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Solution

The third proportional to 344,191 and 506,156 is: 744,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,191 : 506,156 = 506,156 : x
  2. Step 2: Convert to fraction form
    344,191/506,156 = 506,156/x
  3. Step 3: Cross multiply
    344,191x = 506,156 × 506,156
  4. Step 4: Simplify right side
    344,191x = 256,193,896,336
  5. Step 5: Solve for x
    x = 256,193,896,336/344,191
  6. Step 6: Final answer
    x = 744,336.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.