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Finding the Third Proportional to 8,132,756 and 10,842,465

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Solution

The third proportional to 8,132,756 and 10,842,465 is: 14,455,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132,756 : 10,842,465 = 10,842,465 : x
  2. Step 2: Convert to fraction form
    8,132,756/10,842,465 = 10,842,465/x
  3. Step 3: Cross multiply
    8,132,756x = 10,842,465 × 10,842,465
  4. Step 4: Simplify right side
    8,132,756x = 117,559,047,276,225
  5. Step 5: Solve for x
    x = 117,559,047,276,225/8,132,756
  6. Step 6: Final answer
    x = 14,455,007.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.