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Finding the Third Proportional to 489,156.75 and 675,907.88

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Solution

The third proportional to 489,156.75 and 675,907.88 is: 933,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,156.75 : 675,907.88 = 675,907.88 : x
  2. Step 2: Convert to fraction form
    489,156.75/675,907.88 = 675,907.88/x
  3. Step 3: Cross multiply
    489,156.75x = 675,907.88 × 675,907.88
  4. Step 4: Simplify right side
    489,156.75x = 456,851,455,487.02
  5. Step 5: Solve for x
    x = 456,851,455,487.02/489,156.75
  6. Step 6: Final answer
    x = 933,957.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.