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Finding the Third Proportional to 18,402,977.25 and 38,709,738

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Solution

The third proportional to 18,402,977.25 and 38,709,738 is: 81,423,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402,977.25 : 38,709,738 = 38,709,738 : x
  2. Step 2: Convert to fraction form
    18,402,977.25/38,709,738 = 38,709,738/x
  3. Step 3: Cross multiply
    18,402,977.25x = 38,709,738 × 38,709,738
  4. Step 4: Simplify right side
    18,402,977.25x = 1,498,443,816,028,644
  5. Step 5: Solve for x
    x = 1,498,443,816,028,644/18,402,977.25
  6. Step 6: Final answer
    x = 81,423,988.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.