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Finding the Third Proportional to 287,064.75 and 670,499.63

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Solution

The third proportional to 287,064.75 and 670,499.63 is: 1,566,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,064.75 : 670,499.63 = 670,499.63 : x
  2. Step 2: Convert to fraction form
    287,064.75/670,499.63 = 670,499.63/x
  3. Step 3: Cross multiply
    287,064.75x = 670,499.63 × 670,499.63
  4. Step 4: Simplify right side
    287,064.75x = 449,569,747,125.14
  5. Step 5: Solve for x
    x = 449,569,747,125.14/287,064.75
  6. Step 6: Final answer
    x = 1,566,091.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.