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Finding the Third Proportional to 57,487,920 and 86,210,770.50

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Solution

The third proportional to 57,487,920 and 86,210,770.50 is: 129,284,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,487,920 : 86,210,770.50 = 86,210,770.50 : x
  2. Step 2: Convert to fraction form
    57,487,920/86,210,770.50 = 86,210,770.50/x
  3. Step 3: Cross multiply
    57,487,920x = 86,210,770.50 × 86,210,770.50
  4. Step 4: Simplify right side
    57,487,920x = 7,432,296,950,203,670
  5. Step 5: Solve for x
    x = 7,432,296,950,203,670/57,487,920
  6. Step 6: Final answer
    x = 129,284,499.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.