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Finding the Third Proportional to 32,485 and 47,603

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Solution

The third proportional to 32,485 and 47,603 is: 69,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,485 : 47,603 = 47,603 : x
  2. Step 2: Convert to fraction form
    32,485/47,603 = 47,603/x
  3. Step 3: Cross multiply
    32,485x = 47,603 × 47,603
  4. Step 4: Simplify right side
    32,485x = 2,266,045,609
  5. Step 5: Solve for x
    x = 2,266,045,609/32,485
  6. Step 6: Final answer
    x = 69,756.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.