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Finding the Third Proportional to 216,897 and 470,001

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Solution

The third proportional to 216,897 and 470,001 is: 1,018,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,897 : 470,001 = 470,001 : x
  2. Step 2: Convert to fraction form
    216,897/470,001 = 470,001/x
  3. Step 3: Cross multiply
    216,897x = 470,001 × 470,001
  4. Step 4: Simplify right side
    216,897x = 220,900,940,001
  5. Step 5: Solve for x
    x = 220,900,940,001/216,897
  6. Step 6: Final answer
    x = 1,018,460.10

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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.