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Finding the Third Proportional to 414,217,108 and 643,151,026.50

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Solution

The third proportional to 414,217,108 and 643,151,026.50 is: 998,614,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,217,108 : 643,151,026.50 = 643,151,026.50 : x
  2. Step 2: Convert to fraction form
    414,217,108/643,151,026.50 = 643,151,026.50/x
  3. Step 3: Cross multiply
    414,217,108x = 643,151,026.50 × 643,151,026.50
  4. Step 4: Simplify right side
    414,217,108x = 413,643,242,888,003,712
  5. Step 5: Solve for x
    x = 413,643,242,888,003,712/414,217,108
  6. Step 6: Final answer
    x = 998,614,578.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.