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Finding the Third Proportional to 9,746.50 and 14,860.75

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Solution

The third proportional to 9,746.50 and 14,860.75 is: 22,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.50 : 14,860.75 = 14,860.75 : x
  2. Step 2: Convert to fraction form
    9,746.50/14,860.75 = 14,860.75/x
  3. Step 3: Cross multiply
    9,746.50x = 14,860.75 × 14,860.75
  4. Step 4: Simplify right side
    9,746.50x = 220,841,890.56
  5. Step 5: Solve for x
    x = 220,841,890.56/9,746.50
  6. Step 6: Final answer
    x = 22,658.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.