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Finding the Third Proportional to 338,178 and 506,197

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Solution

The third proportional to 338,178 and 506,197 is: 757,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,178 : 506,197 = 506,197 : x
  2. Step 2: Convert to fraction form
    338,178/506,197 = 506,197/x
  3. Step 3: Cross multiply
    338,178x = 506,197 × 506,197
  4. Step 4: Simplify right side
    338,178x = 256,235,402,809
  5. Step 5: Solve for x
    x = 256,235,402,809/338,178
  6. Step 6: Final answer
    x = 757,693.89

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Why These Related Problems?

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