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Finding the Third Proportional to 15,309 and 31,576.50

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Solution

The third proportional to 15,309 and 31,576.50 is: 65,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 31,576.50 = 31,576.50 : x
  2. Step 2: Convert to fraction form
    15,309/31,576.50 = 31,576.50/x
  3. Step 3: Cross multiply
    15,309x = 31,576.50 × 31,576.50
  4. Step 4: Simplify right side
    15,309x = 997,075,352.25
  5. Step 5: Solve for x
    x = 997,075,352.25/15,309
  6. Step 6: Final answer
    x = 65,130.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.