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Finding the Third Proportional to 15,705 and 18,459

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Solution

The third proportional to 15,705 and 18,459 is: 21,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 18,459 = 18,459 : x
  2. Step 2: Convert to fraction form
    15,705/18,459 = 18,459/x
  3. Step 3: Cross multiply
    15,705x = 18,459 × 18,459
  4. Step 4: Simplify right side
    15,705x = 340,734,681
  5. Step 5: Solve for x
    x = 340,734,681/15,705
  6. Step 6: Final answer
    x = 21,695.94

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.