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Finding the Third Proportional to 37,040 and 52,929.50

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Solution

The third proportional to 37,040 and 52,929.50 is: 75,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,040 : 52,929.50 = 52,929.50 : x
  2. Step 2: Convert to fraction form
    37,040/52,929.50 = 52,929.50/x
  3. Step 3: Cross multiply
    37,040x = 52,929.50 × 52,929.50
  4. Step 4: Simplify right side
    37,040x = 2,801,531,970.25
  5. Step 5: Solve for x
    x = 2,801,531,970.25/37,040
  6. Step 6: Final answer
    x = 75,635.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.