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Finding the Third Proportional to 990,496 and 2,138,624

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Solution

The third proportional to 990,496 and 2,138,624 is: 4,617,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,496 : 2,138,624 = 2,138,624 : x
  2. Step 2: Convert to fraction form
    990,496/2,138,624 = 2,138,624/x
  3. Step 3: Cross multiply
    990,496x = 2,138,624 × 2,138,624
  4. Step 4: Simplify right side
    990,496x = 4,573,712,613,376
  5. Step 5: Solve for x
    x = 4,573,712,613,376/990,496
  6. Step 6: Final answer
    x = 4,617,598.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.