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Finding the Third Proportional to 18,778,648.92 and 39,574,805.34

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Solution

The third proportional to 18,778,648.92 and 39,574,805.34 is: 83,401,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778,648.92 : 39,574,805.34 = 39,574,805.34 : x
  2. Step 2: Convert to fraction form
    18,778,648.92/39,574,805.34 = 39,574,805.34/x
  3. Step 3: Cross multiply
    18,778,648.92x = 39,574,805.34 × 39,574,805.34
  4. Step 4: Simplify right side
    18,778,648.92x = 1,566,165,217,995,703.50
  5. Step 5: Solve for x
    x = 1,566,165,217,995,703.50/18,778,648.92
  6. Step 6: Final answer
    x = 83,401,379.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.