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Finding the Third Proportional to 12,589,038 and 18,930,310

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Solution

The third proportional to 12,589,038 and 18,930,310 is: 28,465,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589,038 : 18,930,310 = 18,930,310 : x
  2. Step 2: Convert to fraction form
    12,589,038/18,930,310 = 18,930,310/x
  3. Step 3: Cross multiply
    12,589,038x = 18,930,310 × 18,930,310
  4. Step 4: Simplify right side
    12,589,038x = 358,356,636,696,100
  5. Step 5: Solve for x
    x = 358,356,636,696,100/12,589,038
  6. Step 6: Final answer
    x = 28,465,768.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.