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Finding the Third Proportional to 438,427.69 and 698,159.25

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Solution

The third proportional to 438,427.69 and 698,159.25 is: 1,111,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,427.69 : 698,159.25 = 698,159.25 : x
  2. Step 2: Convert to fraction form
    438,427.69/698,159.25 = 698,159.25/x
  3. Step 3: Cross multiply
    438,427.69x = 698,159.25 × 698,159.25
  4. Step 4: Simplify right side
    438,427.69x = 487,426,338,360.56
  5. Step 5: Solve for x
    x = 487,426,338,360.56/438,427.69
  6. Step 6: Final answer
    x = 1,111,759.94

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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.