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Finding the Third Proportional to 15,798 and 21,391

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Solution

The third proportional to 15,798 and 21,391 is: 28,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,798 : 21,391 = 21,391 : x
  2. Step 2: Convert to fraction form
    15,798/21,391 = 21,391/x
  3. Step 3: Cross multiply
    15,798x = 21,391 × 21,391
  4. Step 4: Simplify right side
    15,798x = 457,574,881
  5. Step 5: Solve for x
    x = 457,574,881/15,798
  6. Step 6: Final answer
    x = 28,964.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.