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Finding the Third Proportional to 77,907.60 and 111,398.18

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Solution

The third proportional to 77,907.60 and 111,398.18 is: 159,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,907.60 : 111,398.18 = 111,398.18 : x
  2. Step 2: Convert to fraction form
    77,907.60/111,398.18 = 111,398.18/x
  3. Step 3: Cross multiply
    77,907.60x = 111,398.18 × 111,398.18
  4. Step 4: Simplify right side
    77,907.60x = 12,409,553,784.96
  5. Step 5: Solve for x
    x = 12,409,553,784.96/77,907.60
  6. Step 6: Final answer
    x = 159,285.53

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Why These Related Problems?

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