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Finding the Third Proportional to 12,840 and 20,428

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Solution

The third proportional to 12,840 and 20,428 is: 32,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 20,428 = 20,428 : x
  2. Step 2: Convert to fraction form
    12,840/20,428 = 20,428/x
  3. Step 3: Cross multiply
    12,840x = 20,428 × 20,428
  4. Step 4: Simplify right side
    12,840x = 417,303,184
  5. Step 5: Solve for x
    x = 417,303,184/12,840
  6. Step 6: Final answer
    x = 32,500.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.