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Finding the Third Proportional to 916,840 and 1,991,448

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Solution

The third proportional to 916,840 and 1,991,448 is: 4,325,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,840 : 1,991,448 = 1,991,448 : x
  2. Step 2: Convert to fraction form
    916,840/1,991,448 = 1,991,448/x
  3. Step 3: Cross multiply
    916,840x = 1,991,448 × 1,991,448
  4. Step 4: Simplify right side
    916,840x = 3,965,865,136,704
  5. Step 5: Solve for x
    x = 3,965,865,136,704/916,840
  6. Step 6: Final answer
    x = 4,325,580.40

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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.