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Finding the Third Proportional to 167,160,294 and 351,241,162.50

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Solution

The third proportional to 167,160,294 and 351,241,162.50 is: 738,036,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,160,294 : 351,241,162.50 = 351,241,162.50 : x
  2. Step 2: Convert to fraction form
    167,160,294/351,241,162.50 = 351,241,162.50/x
  3. Step 3: Cross multiply
    167,160,294x = 351,241,162.50 × 351,241,162.50
  4. Step 4: Simplify right side
    167,160,294x = 123,370,354,234,351,408
  5. Step 5: Solve for x
    x = 123,370,354,234,351,408/167,160,294
  6. Step 6: Final answer
    x = 738,036,236.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.