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Finding the Third Proportional to 453,655 and 990,321

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Solution

The third proportional to 453,655 and 990,321 is: 2,161,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,655 : 990,321 = 990,321 : x
  2. Step 2: Convert to fraction form
    453,655/990,321 = 990,321/x
  3. Step 3: Cross multiply
    453,655x = 990,321 × 990,321
  4. Step 4: Simplify right side
    453,655x = 980,735,683,041
  5. Step 5: Solve for x
    x = 980,735,683,041/453,655
  6. Step 6: Final answer
    x = 2,161,853.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.