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Finding the Third Proportional to 140,311,483.50 and 306,120,471

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Solution

The third proportional to 140,311,483.50 and 306,120,471 is: 667,869,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,311,483.50 : 306,120,471 = 306,120,471 : x
  2. Step 2: Convert to fraction form
    140,311,483.50/306,120,471 = 306,120,471/x
  3. Step 3: Cross multiply
    140,311,483.50x = 306,120,471 × 306,120,471
  4. Step 4: Simplify right side
    140,311,483.50x = 93,709,742,765,261,840
  5. Step 5: Solve for x
    x = 93,709,742,765,261,840/140,311,483.50
  6. Step 6: Final answer
    x = 667,869,374.82

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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.