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Finding the Third Proportional to 287,080 and 670,536

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Solution

The third proportional to 287,080 and 670,536 is: 1,566,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,080 : 670,536 = 670,536 : x
  2. Step 2: Convert to fraction form
    287,080/670,536 = 670,536/x
  3. Step 3: Cross multiply
    287,080x = 670,536 × 670,536
  4. Step 4: Simplify right side
    287,080x = 449,618,527,296
  5. Step 5: Solve for x
    x = 449,618,527,296/287,080
  6. Step 6: Final answer
    x = 1,566,178.51

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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.