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Finding the Third Proportional to 328,771 and 495,047

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Solution

The third proportional to 328,771 and 495,047 is: 745,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,771 : 495,047 = 495,047 : x
  2. Step 2: Convert to fraction form
    328,771/495,047 = 495,047/x
  3. Step 3: Cross multiply
    328,771x = 495,047 × 495,047
  4. Step 4: Simplify right side
    328,771x = 245,071,532,209
  5. Step 5: Solve for x
    x = 245,071,532,209/328,771
  6. Step 6: Final answer
    x = 745,417.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.