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Finding the Third Proportional to 10,278,639 and 14,461,780

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Solution

The third proportional to 10,278,639 and 14,461,780 is: 20,347,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278,639 : 14,461,780 = 14,461,780 : x
  2. Step 2: Convert to fraction form
    10,278,639/14,461,780 = 14,461,780/x
  3. Step 3: Cross multiply
    10,278,639x = 14,461,780 × 14,461,780
  4. Step 4: Simplify right side
    10,278,639x = 209,143,080,768,400
  5. Step 5: Solve for x
    x = 209,143,080,768,400/10,278,639
  6. Step 6: Final answer
    x = 20,347,351.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.