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Finding the Third Proportional to 287,074.13 and 670,528.13

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Solution

The third proportional to 287,074.13 and 670,528.13 is: 1,566,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,074.13 : 670,528.13 = 670,528.13 : x
  2. Step 2: Convert to fraction form
    287,074.13/670,528.13 = 670,528.13/x
  3. Step 3: Cross multiply
    287,074.13x = 670,528.13 × 670,528.13
  4. Step 4: Simplify right side
    287,074.13x = 449,607,966,416.02
  5. Step 5: Solve for x
    x = 449,607,966,416.02/287,074.13
  6. Step 6: Final answer
    x = 1,566,173.78

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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.