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Finding the Third Proportional to 5,429,106 and 8,398,717.88

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Solution

The third proportional to 5,429,106 and 8,398,717.88 is: 12,992,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429,106 : 8,398,717.88 = 8,398,717.88 : x
  2. Step 2: Convert to fraction form
    5,429,106/8,398,717.88 = 8,398,717.88/x
  3. Step 3: Cross multiply
    5,429,106x = 8,398,717.88 × 8,398,717.88
  4. Step 4: Simplify right side
    5,429,106x = 70,538,461,943,844.52
  5. Step 5: Solve for x
    x = 70,538,461,943,844.52/5,429,106
  6. Step 6: Final answer
    x = 12,992,647.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.