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Finding the Third Proportional to 19,937 and 28,977.50

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Solution

The third proportional to 19,937 and 28,977.50 is: 42,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937 : 28,977.50 = 28,977.50 : x
  2. Step 2: Convert to fraction form
    19,937/28,977.50 = 28,977.50/x
  3. Step 3: Cross multiply
    19,937x = 28,977.50 × 28,977.50
  4. Step 4: Simplify right side
    19,937x = 839,695,506.25
  5. Step 5: Solve for x
    x = 839,695,506.25/19,937
  6. Step 6: Final answer
    x = 42,117.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.