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Finding the Third Proportional to 115,045,129.50 and 178,502,755.50

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Solution

The third proportional to 115,045,129.50 and 178,502,755.50 is: 276,962,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,045,129.50 : 178,502,755.50 = 178,502,755.50 : x
  2. Step 2: Convert to fraction form
    115,045,129.50/178,502,755.50 = 178,502,755.50/x
  3. Step 3: Cross multiply
    115,045,129.50x = 178,502,755.50 × 178,502,755.50
  4. Step 4: Simplify right side
    115,045,129.50x = 31,863,233,721,092,780
  5. Step 5: Solve for x
    x = 31,863,233,721,092,780/115,045,129.50
  6. Step 6: Final answer
    x = 276,962,908.90

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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.