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Finding the Third Proportional to 78,100,545 and 162,665,426

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Solution

The third proportional to 78,100,545 and 162,665,426 is: 338,794,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,545 : 162,665,426 = 162,665,426 : x
  2. Step 2: Convert to fraction form
    78,100,545/162,665,426 = 162,665,426/x
  3. Step 3: Cross multiply
    78,100,545x = 162,665,426 × 162,665,426
  4. Step 4: Simplify right side
    78,100,545x = 26,460,040,815,761,476
  5. Step 5: Solve for x
    x = 26,460,040,815,761,476/78,100,545
  6. Step 6: Final answer
    x = 338,794,573.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.