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Finding the Third Proportional to 21,430 and 31,309

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Solution

The third proportional to 21,430 and 31,309 is: 45,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430 : 31,309 = 31,309 : x
  2. Step 2: Convert to fraction form
    21,430/31,309 = 31,309/x
  3. Step 3: Cross multiply
    21,430x = 31,309 × 31,309
  4. Step 4: Simplify right side
    21,430x = 980,253,481
  5. Step 5: Solve for x
    x = 980,253,481/21,430
  6. Step 6: Final answer
    x = 45,742.11

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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.