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Finding the Third Proportional to 10,484 and 21,292

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Solution

The third proportional to 10,484 and 21,292 is: 43,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484 : 21,292 = 21,292 : x
  2. Step 2: Convert to fraction form
    10,484/21,292 = 21,292/x
  3. Step 3: Cross multiply
    10,484x = 21,292 × 21,292
  4. Step 4: Simplify right side
    10,484x = 453,349,264
  5. Step 5: Solve for x
    x = 453,349,264/10,484
  6. Step 6: Final answer
    x = 43,242.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.