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Finding the Third Proportional to 8,160,214.50 and 12,345,273

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Solution

The third proportional to 8,160,214.50 and 12,345,273 is: 18,676,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160,214.50 : 12,345,273 = 12,345,273 : x
  2. Step 2: Convert to fraction form
    8,160,214.50/12,345,273 = 12,345,273/x
  3. Step 3: Cross multiply
    8,160,214.50x = 12,345,273 × 12,345,273
  4. Step 4: Simplify right side
    8,160,214.50x = 152,405,765,444,529
  5. Step 5: Solve for x
    x = 152,405,765,444,529/8,160,214.50
  6. Step 6: Final answer
    x = 18,676,686.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.