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Finding the Third Proportional to 219,239 and 472,316

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Solution

The third proportional to 219,239 and 472,316 is: 1,017,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,239 : 472,316 = 472,316 : x
  2. Step 2: Convert to fraction form
    219,239/472,316 = 472,316/x
  3. Step 3: Cross multiply
    219,239x = 472,316 × 472,316
  4. Step 4: Simplify right side
    219,239x = 223,082,403,856
  5. Step 5: Solve for x
    x = 223,082,403,856/219,239
  6. Step 6: Final answer
    x = 1,017,530.66

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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.