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Finding the Third Proportional to 12,702 and 19,772

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Solution

The third proportional to 12,702 and 19,772 is: 30,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702 : 19,772 = 19,772 : x
  2. Step 2: Convert to fraction form
    12,702/19,772 = 19,772/x
  3. Step 3: Cross multiply
    12,702x = 19,772 × 19,772
  4. Step 4: Simplify right side
    12,702x = 390,931,984
  5. Step 5: Solve for x
    x = 390,931,984/12,702
  6. Step 6: Final answer
    x = 30,777.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.