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Finding the Third Proportional to 439,612.63 and 657,573.66

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Solution

The third proportional to 439,612.63 and 657,573.66 is: 983,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,612.63 : 657,573.66 = 657,573.66 : x
  2. Step 2: Convert to fraction form
    439,612.63/657,573.66 = 657,573.66/x
  3. Step 3: Cross multiply
    439,612.63x = 657,573.66 × 657,573.66
  4. Step 4: Simplify right side
    439,612.63x = 432,403,121,099.94
  5. Step 5: Solve for x
    x = 432,403,121,099.94/439,612.63
  6. Step 6: Final answer
    x = 983,600.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.