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Finding the Third Proportional to 37,999,720.50 and 81,380,281.50

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Solution

The third proportional to 37,999,720.50 and 81,380,281.50 is: 174,284,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999,720.50 : 81,380,281.50 = 81,380,281.50 : x
  2. Step 2: Convert to fraction form
    37,999,720.50/81,380,281.50 = 81,380,281.50/x
  3. Step 3: Cross multiply
    37,999,720.50x = 81,380,281.50 × 81,380,281.50
  4. Step 4: Simplify right side
    37,999,720.50x = 6,622,750,217,019,242
  5. Step 5: Solve for x
    x = 6,622,750,217,019,242/37,999,720.50
  6. Step 6: Final answer
    x = 174,284,182.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.