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Finding the Third Proportional to 21,428 and 31,306

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Solution

The third proportional to 21,428 and 31,306 is: 45,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428 : 31,306 = 31,306 : x
  2. Step 2: Convert to fraction form
    21,428/31,306 = 31,306/x
  3. Step 3: Cross multiply
    21,428x = 31,306 × 31,306
  4. Step 4: Simplify right side
    21,428x = 980,065,636
  5. Step 5: Solve for x
    x = 980,065,636/21,428
  6. Step 6: Final answer
    x = 45,737.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.