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Finding the Third Proportional to 98,689,544 and 213,853,752

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Solution

The third proportional to 98,689,544 and 213,853,752 is: 463,407,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689,544 : 213,853,752 = 213,853,752 : x
  2. Step 2: Convert to fraction form
    98,689,544/213,853,752 = 213,853,752/x
  3. Step 3: Cross multiply
    98,689,544x = 213,853,752 × 213,853,752
  4. Step 4: Simplify right side
    98,689,544x = 45,733,427,244,477,504
  5. Step 5: Solve for x
    x = 45,733,427,244,477,504/98,689,544
  6. Step 6: Final answer
    x = 463,407,017.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.