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Finding the Third Proportional to 75,311,985 and 116,376,160.50

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Solution

The third proportional to 75,311,985 and 116,376,160.50 is: 179,830,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311,985 : 116,376,160.50 = 116,376,160.50 : x
  2. Step 2: Convert to fraction form
    75,311,985/116,376,160.50 = 116,376,160.50/x
  3. Step 3: Cross multiply
    75,311,985x = 116,376,160.50 × 116,376,160.50
  4. Step 4: Simplify right side
    75,311,985x = 13,543,410,732,721,760
  5. Step 5: Solve for x
    x = 13,543,410,732,721,760/75,311,985
  6. Step 6: Final answer
    x = 179,830,749.82

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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.