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Finding the Third Proportional to 78,262,160.50 and 170,009,667

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Solution

The third proportional to 78,262,160.50 and 170,009,667 is: 369,313,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,262,160.50 : 170,009,667 = 170,009,667 : x
  2. Step 2: Convert to fraction form
    78,262,160.50/170,009,667 = 170,009,667/x
  3. Step 3: Cross multiply
    78,262,160.50x = 170,009,667 × 170,009,667
  4. Step 4: Simplify right side
    78,262,160.50x = 28,903,286,873,450,888
  5. Step 5: Solve for x
    x = 28,903,286,873,450,888/78,262,160.50
  6. Step 6: Final answer
    x = 369,313,684.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.