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Finding the Third Proportional to 9,655,840 and 20,972,434

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Solution

The third proportional to 9,655,840 and 20,972,434 is: 45,552,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655,840 : 20,972,434 = 20,972,434 : x
  2. Step 2: Convert to fraction form
    9,655,840/20,972,434 = 20,972,434/x
  3. Step 3: Cross multiply
    9,655,840x = 20,972,434 × 20,972,434
  4. Step 4: Simplify right side
    9,655,840x = 439,842,987,884,356
  5. Step 5: Solve for x
    x = 439,842,987,884,356/9,655,840
  6. Step 6: Final answer
    x = 45,552,017.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.