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Finding the Third Proportional to 489,173 and 731,509

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Solution

The third proportional to 489,173 and 731,509 is: 1,093,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,173 : 731,509 = 731,509 : x
  2. Step 2: Convert to fraction form
    489,173/731,509 = 731,509/x
  3. Step 3: Cross multiply
    489,173x = 731,509 × 731,509
  4. Step 4: Simplify right side
    489,173x = 535,105,417,081
  5. Step 5: Solve for x
    x = 535,105,417,081/489,173
  6. Step 6: Final answer
    x = 1,093,898.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.