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Finding the Third Proportional to 213,464 and 459,312

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Solution

The third proportional to 213,464 and 459,312 is: 988,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,464 : 459,312 = 459,312 : x
  2. Step 2: Convert to fraction form
    213,464/459,312 = 459,312/x
  3. Step 3: Cross multiply
    213,464x = 459,312 × 459,312
  4. Step 4: Simplify right side
    213,464x = 210,967,513,344
  5. Step 5: Solve for x
    x = 210,967,513,344/213,464
  6. Step 6: Final answer
    x = 988,304.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.