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Finding the Third Proportional to 129,215,313.50 and 283,537,113.50

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Solution

The third proportional to 129,215,313.50 and 283,537,113.50 is: 622,165,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215,313.50 : 283,537,113.50 = 283,537,113.50 : x
  2. Step 2: Convert to fraction form
    129,215,313.50/283,537,113.50 = 283,537,113.50/x
  3. Step 3: Cross multiply
    129,215,313.50x = 283,537,113.50 × 283,537,113.50
  4. Step 4: Simplify right side
    129,215,313.50x = 80,393,294,731,911,888
  5. Step 5: Solve for x
    x = 80,393,294,731,911,888/129,215,313.50
  6. Step 6: Final answer
    x = 622,165,380.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.