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Finding the Third Proportional to 115,438,702 and 178,898,202

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Solution

The third proportional to 115,438,702 and 178,898,202 is: 277,242,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438,702 : 178,898,202 = 178,898,202 : x
  2. Step 2: Convert to fraction form
    115,438,702/178,898,202 = 178,898,202/x
  3. Step 3: Cross multiply
    115,438,702x = 178,898,202 × 178,898,202
  4. Step 4: Simplify right side
    115,438,702x = 32,004,566,678,832,804
  5. Step 5: Solve for x
    x = 32,004,566,678,832,804/115,438,702
  6. Step 6: Final answer
    x = 277,242,953.40

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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.