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Finding the Third Proportional to 2,241,633 and 4,642,773

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Solution

The third proportional to 2,241,633 and 4,642,773 is: 9,615,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,633 : 4,642,773 = 4,642,773 : x
  2. Step 2: Convert to fraction form
    2,241,633/4,642,773 = 4,642,773/x
  3. Step 3: Cross multiply
    2,241,633x = 4,642,773 × 4,642,773
  4. Step 4: Simplify right side
    2,241,633x = 21,555,341,129,529
  5. Step 5: Solve for x
    x = 21,555,341,129,529/2,241,633
  6. Step 6: Final answer
    x = 9,615,909.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.