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Finding the Third Proportional to 130,101,745.50 and 178,404,687

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Solution

The third proportional to 130,101,745.50 and 178,404,687 is: 244,641,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,101,745.50 : 178,404,687 = 178,404,687 : x
  2. Step 2: Convert to fraction form
    130,101,745.50/178,404,687 = 178,404,687/x
  3. Step 3: Cross multiply
    130,101,745.50x = 178,404,687 × 178,404,687
  4. Step 4: Simplify right side
    130,101,745.50x = 31,828,232,343,567,968
  5. Step 5: Solve for x
    x = 31,828,232,343,567,968/130,101,745.50
  6. Step 6: Final answer
    x = 244,641,086.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.