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Finding the Third Proportional to 39,456,357 and 86,455,434

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Solution

The third proportional to 39,456,357 and 86,455,434 is: 189,438,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456,357 : 86,455,434 = 86,455,434 : x
  2. Step 2: Convert to fraction form
    39,456,357/86,455,434 = 86,455,434/x
  3. Step 3: Cross multiply
    39,456,357x = 86,455,434 × 86,455,434
  4. Step 4: Simplify right side
    39,456,357x = 7,474,542,068,128,356
  5. Step 5: Solve for x
    x = 7,474,542,068,128,356/39,456,357
  6. Step 6: Final answer
    x = 189,438,220.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.