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Finding the Third Proportional to 328,899 and 742,871

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Solution

The third proportional to 328,899 and 742,871 is: 1,677,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,899 : 742,871 = 742,871 : x
  2. Step 2: Convert to fraction form
    328,899/742,871 = 742,871/x
  3. Step 3: Cross multiply
    328,899x = 742,871 × 742,871
  4. Step 4: Simplify right side
    328,899x = 551,857,322,641
  5. Step 5: Solve for x
    x = 551,857,322,641/328,899
  6. Step 6: Final answer
    x = 1,677,892.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.