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Finding the Third Proportional to 9,767,346 and 21,215,604

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Solution

The third proportional to 9,767,346 and 21,215,604 is: 46,082,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767,346 : 21,215,604 = 21,215,604 : x
  2. Step 2: Convert to fraction form
    9,767,346/21,215,604 = 21,215,604/x
  3. Step 3: Cross multiply
    9,767,346x = 21,215,604 × 21,215,604
  4. Step 4: Simplify right side
    9,767,346x = 450,101,853,084,816
  5. Step 5: Solve for x
    x = 450,101,853,084,816/9,767,346
  6. Step 6: Final answer
    x = 46,082,308.65

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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.