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Finding the Third Proportional to 147,195,265 and 321,126,588.50

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Solution

The third proportional to 147,195,265 and 321,126,588.50 is: 700,581,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,195,265 : 321,126,588.50 = 321,126,588.50 : x
  2. Step 2: Convert to fraction form
    147,195,265/321,126,588.50 = 321,126,588.50/x
  3. Step 3: Cross multiply
    147,195,265x = 321,126,588.50 × 321,126,588.50
  4. Step 4: Simplify right side
    147,195,265x = 103,122,285,841,648,336
  5. Step 5: Solve for x
    x = 103,122,285,841,648,336/147,195,265
  6. Step 6: Final answer
    x = 700,581,542.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.