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Finding the Third Proportional to 438,435 and 698,179.50

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Solution

The third proportional to 438,435 and 698,179.50 is: 1,111,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,435 : 698,179.50 = 698,179.50 : x
  2. Step 2: Convert to fraction form
    438,435/698,179.50 = 698,179.50/x
  3. Step 3: Cross multiply
    438,435x = 698,179.50 × 698,179.50
  4. Step 4: Simplify right side
    438,435x = 487,454,614,220.25
  5. Step 5: Solve for x
    x = 487,454,614,220.25/438,435
  6. Step 6: Final answer
    x = 1,111,805.89

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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.