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Finding the Third Proportional to 215,583 and 453,490

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Solution

The third proportional to 215,583 and 453,490 is: 953,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,583 : 453,490 = 453,490 : x
  2. Step 2: Convert to fraction form
    215,583/453,490 = 453,490/x
  3. Step 3: Cross multiply
    215,583x = 453,490 × 453,490
  4. Step 4: Simplify right side
    215,583x = 205,653,180,100
  5. Step 5: Solve for x
    x = 205,653,180,100/215,583
  6. Step 6: Final answer
    x = 953,939.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.