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Finding the Third Proportional to 287,070.75 and 670,514.63

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Solution

The third proportional to 287,070.75 and 670,514.63 is: 1,566,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,070.75 : 670,514.63 = 670,514.63 : x
  2. Step 2: Convert to fraction form
    287,070.75/670,514.63 = 670,514.63/x
  3. Step 3: Cross multiply
    287,070.75x = 670,514.63 × 670,514.63
  4. Step 4: Simplify right side
    287,070.75x = 449,589,862,338.89
  5. Step 5: Solve for x
    x = 449,589,862,338.89/287,070.75
  6. Step 6: Final answer
    x = 1,566,129.12

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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.