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Finding the Third Proportional to 12,352,991 and 17,820,817

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Solution

The third proportional to 12,352,991 and 17,820,817 is: 25,708,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352,991 : 17,820,817 = 17,820,817 : x
  2. Step 2: Convert to fraction form
    12,352,991/17,820,817 = 17,820,817/x
  3. Step 3: Cross multiply
    12,352,991x = 17,820,817 × 17,820,817
  4. Step 4: Simplify right side
    12,352,991x = 317,581,518,547,489
  5. Step 5: Solve for x
    x = 317,581,518,547,489/12,352,991
  6. Step 6: Final answer
    x = 25,708,876.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.