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Finding the Third Proportional to 401,501 and 891,575

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Solution

The third proportional to 401,501 and 891,575 is: 1,979,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,501 : 891,575 = 891,575 : x
  2. Step 2: Convert to fraction form
    401,501/891,575 = 891,575/x
  3. Step 3: Cross multiply
    401,501x = 891,575 × 891,575
  4. Step 4: Simplify right side
    401,501x = 794,905,980,625
  5. Step 5: Solve for x
    x = 794,905,980,625/401,501
  6. Step 6: Final answer
    x = 1,979,835.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.