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Finding the Third Proportional to 338,188 and 506,358

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Solution

The third proportional to 338,188 and 506,358 is: 758,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,188 : 506,358 = 506,358 : x
  2. Step 2: Convert to fraction form
    338,188/506,358 = 506,358/x
  3. Step 3: Cross multiply
    338,188x = 506,358 × 506,358
  4. Step 4: Simplify right side
    338,188x = 256,398,424,164
  5. Step 5: Solve for x
    x = 256,398,424,164/338,188
  6. Step 6: Final answer
    x = 758,153.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.