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Finding the Third Proportional to 442,639.69 and 703,225.55

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Solution

The third proportional to 442,639.69 and 703,225.55 is: 1,117,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,639.69 : 703,225.55 = 703,225.55 : x
  2. Step 2: Convert to fraction form
    442,639.69/703,225.55 = 703,225.55/x
  3. Step 3: Cross multiply
    442,639.69x = 703,225.55 × 703,225.55
  4. Step 4: Simplify right side
    442,639.69x = 494,526,169,777.64
  5. Step 5: Solve for x
    x = 494,526,169,777.64/442,639.69
  6. Step 6: Final answer
    x = 1,117,220.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.