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Finding the Third Proportional to 217,339 and 470,853

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Solution

The third proportional to 217,339 and 470,853 is: 1,020,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,339 : 470,853 = 470,853 : x
  2. Step 2: Convert to fraction form
    217,339/470,853 = 470,853/x
  3. Step 3: Cross multiply
    217,339x = 470,853 × 470,853
  4. Step 4: Simplify right side
    217,339x = 221,702,547,609
  5. Step 5: Solve for x
    x = 221,702,547,609/217,339
  6. Step 6: Final answer
    x = 1,020,077.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.