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Finding the Third Proportional to 7,477.88 and 15,730.31

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Solution

The third proportional to 7,477.88 and 15,730.31 is: 33,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.88 : 15,730.31 = 15,730.31 : x
  2. Step 2: Convert to fraction form
    7,477.88/15,730.31 = 15,730.31/x
  3. Step 3: Cross multiply
    7,477.88x = 15,730.31 × 15,730.31
  4. Step 4: Simplify right side
    7,477.88x = 247,442,731.35
  5. Step 5: Solve for x
    x = 247,442,731.35/7,477.88
  6. Step 6: Final answer
    x = 33,089.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.