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Finding the Third Proportional to 9,718,857 and 20,996,358

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Solution

The third proportional to 9,718,857 and 20,996,358 is: 45,359,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718,857 : 20,996,358 = 20,996,358 : x
  2. Step 2: Convert to fraction form
    9,718,857/20,996,358 = 20,996,358/x
  3. Step 3: Cross multiply
    9,718,857x = 20,996,358 × 20,996,358
  4. Step 4: Simplify right side
    9,718,857x = 440,847,049,264,164
  5. Step 5: Solve for x
    x = 440,847,049,264,164/9,718,857
  6. Step 6: Final answer
    x = 45,359,968.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.