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Finding the Third Proportional to 287,579 and 604,902

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Solution

The third proportional to 287,579 and 604,902 is: 1,272,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,579 : 604,902 = 604,902 : x
  2. Step 2: Convert to fraction form
    287,579/604,902 = 604,902/x
  3. Step 3: Cross multiply
    287,579x = 604,902 × 604,902
  4. Step 4: Simplify right side
    287,579x = 365,906,429,604
  5. Step 5: Solve for x
    x = 365,906,429,604/287,579
  6. Step 6: Final answer
    x = 1,272,368.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.