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Finding the Third Proportional to 89,613,075 and 138,399,819

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Solution

The third proportional to 89,613,075 and 138,399,819 is: 213,746,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,613,075 : 138,399,819 = 138,399,819 : x
  2. Step 2: Convert to fraction form
    89,613,075/138,399,819 = 138,399,819/x
  3. Step 3: Cross multiply
    89,613,075x = 138,399,819 × 138,399,819
  4. Step 4: Simplify right side
    89,613,075x = 19,154,509,899,232,760
  5. Step 5: Solve for x
    x = 19,154,509,899,232,760/89,613,075
  6. Step 6: Final answer
    x = 213,746,820.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.