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Finding the Third Proportional to 19,775 and 28,918.50

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Solution

The third proportional to 19,775 and 28,918.50 is: 42,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775 : 28,918.50 = 28,918.50 : x
  2. Step 2: Convert to fraction form
    19,775/28,918.50 = 28,918.50/x
  3. Step 3: Cross multiply
    19,775x = 28,918.50 × 28,918.50
  4. Step 4: Simplify right side
    19,775x = 836,279,642.25
  5. Step 5: Solve for x
    x = 836,279,642.25/19,775
  6. Step 6: Final answer
    x = 42,289.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.