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Finding the Third Proportional to 68,155,898.50 and 146,704,421

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Solution

The third proportional to 68,155,898.50 and 146,704,421 is: 315,778,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155,898.50 : 146,704,421 = 146,704,421 : x
  2. Step 2: Convert to fraction form
    68,155,898.50/146,704,421 = 146,704,421/x
  3. Step 3: Cross multiply
    68,155,898.50x = 146,704,421 × 146,704,421
  4. Step 4: Simplify right side
    68,155,898.50x = 21,522,187,140,945,240
  5. Step 5: Solve for x
    x = 21,522,187,140,945,240/68,155,898.50
  6. Step 6: Final answer
    x = 315,778,789.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.