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Finding the Third Proportional to 287,556 and 604,857

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Solution

The third proportional to 287,556 and 604,857 is: 1,272,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,556 : 604,857 = 604,857 : x
  2. Step 2: Convert to fraction form
    287,556/604,857 = 604,857/x
  3. Step 3: Cross multiply
    287,556x = 604,857 × 604,857
  4. Step 4: Simplify right side
    287,556x = 365,851,990,449
  5. Step 5: Solve for x
    x = 365,851,990,449/287,556
  6. Step 6: Final answer
    x = 1,272,280.84

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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.