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Finding the Third Proportional to 30,420 and 45,426

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Solution

The third proportional to 30,420 and 45,426 is: 67,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420 : 45,426 = 45,426 : x
  2. Step 2: Convert to fraction form
    30,420/45,426 = 45,426/x
  3. Step 3: Cross multiply
    30,420x = 45,426 × 45,426
  4. Step 4: Simplify right side
    30,420x = 2,063,521,476
  5. Step 5: Solve for x
    x = 2,063,521,476/30,420
  6. Step 6: Final answer
    x = 67,834.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.