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Finding the Third Proportional to 81,769,068.75 and 179,425,836.75

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Solution

The third proportional to 81,769,068.75 and 179,425,836.75 is: 393,714,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769,068.75 : 179,425,836.75 = 179,425,836.75 : x
  2. Step 2: Convert to fraction form
    81,769,068.75/179,425,836.75 = 179,425,836.75/x
  3. Step 3: Cross multiply
    81,769,068.75x = 179,425,836.75 × 179,425,836.75
  4. Step 4: Simplify right side
    81,769,068.75x = 32,193,630,893,437,652
  5. Step 5: Solve for x
    x = 32,193,630,893,437,652/81,769,068.75
  6. Step 6: Final answer
    x = 393,714,045.98

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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.