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Finding the Third Proportional to 217,010 and 470,106

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Solution

The third proportional to 217,010 and 470,106 is: 1,018,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,010 : 470,106 = 470,106 : x
  2. Step 2: Convert to fraction form
    217,010/470,106 = 470,106/x
  3. Step 3: Cross multiply
    217,010x = 470,106 × 470,106
  4. Step 4: Simplify right side
    217,010x = 220,999,651,236
  5. Step 5: Solve for x
    x = 220,999,651,236/217,010
  6. Step 6: Final answer
    x = 1,018,384.64

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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.