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Finding the Third Proportional to 163,982,916 and 251,455,216

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Solution

The third proportional to 163,982,916 and 251,455,216 is: 385,587,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,982,916 : 251,455,216 = 251,455,216 : x
  2. Step 2: Convert to fraction form
    163,982,916/251,455,216 = 251,455,216/x
  3. Step 3: Cross multiply
    163,982,916x = 251,455,216 × 251,455,216
  4. Step 4: Simplify right side
    163,982,916x = 63,229,725,653,606,656
  5. Step 5: Solve for x
    x = 63,229,725,653,606,656/163,982,916
  6. Step 6: Final answer
    x = 385,587,274.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.