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Finding the Third Proportional to 85,669,731 and 130,512,262.50

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Solution

The third proportional to 85,669,731 and 130,512,262.50 is: 198,826,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,669,731 : 130,512,262.50 = 130,512,262.50 : x
  2. Step 2: Convert to fraction form
    85,669,731/130,512,262.50 = 130,512,262.50/x
  3. Step 3: Cross multiply
    85,669,731x = 130,512,262.50 × 130,512,262.50
  4. Step 4: Simplify right side
    85,669,731x = 17,033,450,662,868,906
  5. Step 5: Solve for x
    x = 17,033,450,662,868,906/85,669,731
  6. Step 6: Final answer
    x = 198,826,942.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.