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Finding the Third Proportional to 147,897 and 318,689

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Solution

The third proportional to 147,897 and 318,689 is: 686,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,897 : 318,689 = 318,689 : x
  2. Step 2: Convert to fraction form
    147,897/318,689 = 318,689/x
  3. Step 3: Cross multiply
    147,897x = 318,689 × 318,689
  4. Step 4: Simplify right side
    147,897x = 101,562,678,721
  5. Step 5: Solve for x
    x = 101,562,678,721/147,897
  6. Step 6: Final answer
    x = 686,712.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.