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Finding the Third Proportional to 30,426 and 70,689

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Solution

The third proportional to 30,426 and 70,689 is: 164,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426 : 70,689 = 70,689 : x
  2. Step 2: Convert to fraction form
    30,426/70,689 = 70,689/x
  3. Step 3: Cross multiply
    30,426x = 70,689 × 70,689
  4. Step 4: Simplify right side
    30,426x = 4,996,934,721
  5. Step 5: Solve for x
    x = 4,996,934,721/30,426
  6. Step 6: Final answer
    x = 164,232.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.