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Finding the Third Proportional to 9,655,838 and 20,972,430

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Solution

The third proportional to 9,655,838 and 20,972,430 is: 45,552,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655,838 : 20,972,430 = 20,972,430 : x
  2. Step 2: Convert to fraction form
    9,655,838/20,972,430 = 20,972,430/x
  3. Step 3: Cross multiply
    9,655,838x = 20,972,430 × 20,972,430
  4. Step 4: Simplify right side
    9,655,838x = 439,842,820,104,900
  5. Step 5: Solve for x
    x = 439,842,820,104,900/9,655,838
  6. Step 6: Final answer
    x = 45,552,009.06

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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.