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Finding the Third Proportional to 78,159,208.50 and 114,965,425.13

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Solution

The third proportional to 78,159,208.50 and 114,965,425.13 is: 169,104,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159,208.50 : 114,965,425.13 = 114,965,425.13 : x
  2. Step 2: Convert to fraction form
    78,159,208.50/114,965,425.13 = 114,965,425.13/x
  3. Step 3: Cross multiply
    78,159,208.50x = 114,965,425.13 × 114,965,425.13
  4. Step 4: Simplify right side
    78,159,208.50x = 13,217,048,974,171,982
  5. Step 5: Solve for x
    x = 13,217,048,974,171,982/78,159,208.50
  6. Step 6: Final answer
    x = 169,104,181.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.