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Finding the Third Proportional to 489,944 and 734,920

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Solution

The third proportional to 489,944 and 734,920 is: 1,102,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,944 : 734,920 = 734,920 : x
  2. Step 2: Convert to fraction form
    489,944/734,920 = 734,920/x
  3. Step 3: Cross multiply
    489,944x = 734,920 × 734,920
  4. Step 4: Simplify right side
    489,944x = 540,107,406,400
  5. Step 5: Solve for x
    x = 540,107,406,400/489,944
  6. Step 6: Final answer
    x = 1,102,386.00

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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.