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Finding the Third Proportional to 199,695 and 427,470

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Solution

The third proportional to 199,695 and 427,470 is: 915,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,695 : 427,470 = 427,470 : x
  2. Step 2: Convert to fraction form
    199,695/427,470 = 427,470/x
  3. Step 3: Cross multiply
    199,695x = 427,470 × 427,470
  4. Step 4: Simplify right side
    199,695x = 182,730,600,900
  5. Step 5: Solve for x
    x = 182,730,600,900/199,695
  6. Step 6: Final answer
    x = 915,048.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.