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Finding the Third Proportional to 136,590,590 and 199,775,055

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Solution

The third proportional to 136,590,590 and 199,775,055 is: 292,187,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,590,590 : 199,775,055 = 199,775,055 : x
  2. Step 2: Convert to fraction form
    136,590,590/199,775,055 = 199,775,055/x
  3. Step 3: Cross multiply
    136,590,590x = 199,775,055 × 199,775,055
  4. Step 4: Simplify right side
    136,590,590x = 39,910,072,600,253,024
  5. Step 5: Solve for x
    x = 39,910,072,600,253,024/136,590,590
  6. Step 6: Final answer
    x = 292,187,570.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.