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Finding the Third Proportional to 9,776,360 and 13,313,733

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Solution

The third proportional to 9,776,360 and 13,313,733 is: 18,131,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776,360 : 13,313,733 = 13,313,733 : x
  2. Step 2: Convert to fraction form
    9,776,360/13,313,733 = 13,313,733/x
  3. Step 3: Cross multiply
    9,776,360x = 13,313,733 × 13,313,733
  4. Step 4: Simplify right side
    9,776,360x = 177,255,486,395,289
  5. Step 5: Solve for x
    x = 177,255,486,395,289/9,776,360
  6. Step 6: Final answer
    x = 18,131,031.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.