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Finding the Third Proportional to 287,454.38 and 604,699.88

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Solution

The third proportional to 287,454.38 and 604,699.88 is: 1,272,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,454.38 : 604,699.88 = 604,699.88 : x
  2. Step 2: Convert to fraction form
    287,454.38/604,699.88 = 604,699.88/x
  3. Step 3: Cross multiply
    287,454.38x = 604,699.88 × 604,699.88
  4. Step 4: Simplify right side
    287,454.38x = 365,661,938,825.02
  5. Step 5: Solve for x
    x = 365,661,938,825.02/287,454.38
  6. Step 6: Final answer
    x = 1,272,069.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.