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Finding the Third Proportional to 9,100,368 and 13,747,332

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Solution

The third proportional to 9,100,368 and 13,747,332 is: 20,767,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100,368 : 13,747,332 = 13,747,332 : x
  2. Step 2: Convert to fraction form
    9,100,368/13,747,332 = 13,747,332/x
  3. Step 3: Cross multiply
    9,100,368x = 13,747,332 × 13,747,332
  4. Step 4: Simplify right side
    9,100,368x = 188,989,137,118,224
  5. Step 5: Solve for x
    x = 188,989,137,118,224/9,100,368
  6. Step 6: Final answer
    x = 20,767,197.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.