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Finding the Third Proportional to 401,461 and 872,258

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Solution

The third proportional to 401,461 and 872,258 is: 1,895,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,461 : 872,258 = 872,258 : x
  2. Step 2: Convert to fraction form
    401,461/872,258 = 872,258/x
  3. Step 3: Cross multiply
    401,461x = 872,258 × 872,258
  4. Step 4: Simplify right side
    401,461x = 760,834,018,564
  5. Step 5: Solve for x
    x = 760,834,018,564/401,461
  6. Step 6: Final answer
    x = 1,895,162.96

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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.