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Finding the Third Proportional to 726,453 and 1,092,271.50

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Solution

The third proportional to 726,453 and 1,092,271.50 is: 1,642,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,453 : 1,092,271.50 = 1,092,271.50 : x
  2. Step 2: Convert to fraction form
    726,453/1,092,271.50 = 1,092,271.50/x
  3. Step 3: Cross multiply
    726,453x = 1,092,271.50 × 1,092,271.50
  4. Step 4: Simplify right side
    726,453x = 1,193,057,029,712.25
  5. Step 5: Solve for x
    x = 1,193,057,029,712.25/726,453
  6. Step 6: Final answer
    x = 1,642,304.50

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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.