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Finding the Third Proportional to 132,344,752.50 and 200,219,257.50

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Solution

The third proportional to 132,344,752.50 and 200,219,257.50 is: 302,903,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,344,752.50 : 200,219,257.50 = 200,219,257.50 : x
  2. Step 2: Convert to fraction form
    132,344,752.50/200,219,257.50 = 200,219,257.50/x
  3. Step 3: Cross multiply
    132,344,752.50x = 200,219,257.50 × 200,219,257.50
  4. Step 4: Simplify right side
    132,344,752.50x = 40,087,751,073,851,304
  5. Step 5: Solve for x
    x = 40,087,751,073,851,304/132,344,752.50
  6. Step 6: Final answer
    x = 302,903,971.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.