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Finding the Third Proportional to 9,461,133.75 and 20,713,419

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Solution

The third proportional to 9,461,133.75 and 20,713,419 is: 45,348,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461,133.75 : 20,713,419 = 20,713,419 : x
  2. Step 2: Convert to fraction form
    9,461,133.75/20,713,419 = 20,713,419/x
  3. Step 3: Cross multiply
    9,461,133.75x = 20,713,419 × 20,713,419
  4. Step 4: Simplify right side
    9,461,133.75x = 429,045,726,669,561
  5. Step 5: Solve for x
    x = 429,045,726,669,561/9,461,133.75
  6. Step 6: Final answer
    x = 45,348,236.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.