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Finding the Third Proportional to 401,076 and 872,711

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Solution

The third proportional to 401,076 and 872,711 is: 1,898,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,076 : 872,711 = 872,711 : x
  2. Step 2: Convert to fraction form
    401,076/872,711 = 872,711/x
  3. Step 3: Cross multiply
    401,076x = 872,711 × 872,711
  4. Step 4: Simplify right side
    401,076x = 761,624,489,521
  5. Step 5: Solve for x
    x = 761,624,489,521/401,076
  6. Step 6: Final answer
    x = 1,898,953.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.