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Finding the Third Proportional to 115,438,704 and 178,898,205

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Solution

The third proportional to 115,438,704 and 178,898,205 is: 277,242,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438,704 : 178,898,205 = 178,898,205 : x
  2. Step 2: Convert to fraction form
    115,438,704/178,898,205 = 178,898,205/x
  3. Step 3: Cross multiply
    115,438,704x = 178,898,205 × 178,898,205
  4. Step 4: Simplify right side
    115,438,704x = 32,004,567,752,222,024
  5. Step 5: Solve for x
    x = 32,004,567,752,222,024/115,438,704
  6. Step 6: Final answer
    x = 277,242,957.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.