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Finding the Third Proportional to 217,368 and 458,316

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Solution

The third proportional to 217,368 and 458,316 is: 966,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,368 : 458,316 = 458,316 : x
  2. Step 2: Convert to fraction form
    217,368/458,316 = 458,316/x
  3. Step 3: Cross multiply
    217,368x = 458,316 × 458,316
  4. Step 4: Simplify right side
    217,368x = 210,053,555,856
  5. Step 5: Solve for x
    x = 210,053,555,856/217,368
  6. Step 6: Final answer
    x = 966,349.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.