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Finding the Third Proportional to 13,778,528.25 and 20,269,181.25

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Solution

The third proportional to 13,778,528.25 and 20,269,181.25 is: 29,817,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778,528.25 : 20,269,181.25 = 20,269,181.25 : x
  2. Step 2: Convert to fraction form
    13,778,528.25/20,269,181.25 = 20,269,181.25/x
  3. Step 3: Cross multiply
    13,778,528.25x = 20,269,181.25 × 20,269,181.25
  4. Step 4: Simplify right side
    13,778,528.25x = 410,839,708,545,351.56
  5. Step 5: Solve for x
    x = 410,839,708,545,351.56/13,778,528.25
  6. Step 6: Final answer
    x = 29,817,386.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.