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Finding the Third Proportional to 7,302,878 and 11,352,566

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Solution

The third proportional to 7,302,878 and 11,352,566 is: 17,647,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302,878 : 11,352,566 = 11,352,566 : x
  2. Step 2: Convert to fraction form
    7,302,878/11,352,566 = 11,352,566/x
  3. Step 3: Cross multiply
    7,302,878x = 11,352,566 × 11,352,566
  4. Step 4: Simplify right side
    7,302,878x = 128,880,754,784,356
  5. Step 5: Solve for x
    x = 128,880,754,784,356/7,302,878
  6. Step 6: Final answer
    x = 17,647,940.28

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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.