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Finding the Third Proportional to 78,078,100 and 169,596,908

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Solution

The third proportional to 78,078,100 and 169,596,908 is: 368,388,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078,100 : 169,596,908 = 169,596,908 : x
  2. Step 2: Convert to fraction form
    78,078,100/169,596,908 = 169,596,908/x
  3. Step 3: Cross multiply
    78,078,100x = 169,596,908 × 169,596,908
  4. Step 4: Simplify right side
    78,078,100x = 28,763,111,203,160,464
  5. Step 5: Solve for x
    x = 28,763,111,203,160,464/78,078,100
  6. Step 6: Final answer
    x = 368,388,974.67

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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.