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Finding the Third Proportional to 78,802.50 and 103,434

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Solution

The third proportional to 78,802.50 and 103,434 is: 135,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802.50 : 103,434 = 103,434 : x
  2. Step 2: Convert to fraction form
    78,802.50/103,434 = 103,434/x
  3. Step 3: Cross multiply
    78,802.50x = 103,434 × 103,434
  4. Step 4: Simplify right side
    78,802.50x = 10,698,592,356
  5. Step 5: Solve for x
    x = 10,698,592,356/78,802.50
  6. Step 6: Final answer
    x = 135,764.63

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.