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Finding the Third Proportional to 10,966,878 and 15,331,574

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Solution

The third proportional to 10,966,878 and 15,331,574 is: 21,433,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966,878 : 15,331,574 = 15,331,574 : x
  2. Step 2: Convert to fraction form
    10,966,878/15,331,574 = 15,331,574/x
  3. Step 3: Cross multiply
    10,966,878x = 15,331,574 × 15,331,574
  4. Step 4: Simplify right side
    10,966,878x = 235,057,161,317,476
  5. Step 5: Solve for x
    x = 235,057,161,317,476/10,966,878
  6. Step 6: Final answer
    x = 21,433,370.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.