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Finding the Third Proportional to 426,191.63 and 661,699.13

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Solution

The third proportional to 426,191.63 and 661,699.13 is: 1,027,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,191.63 : 661,699.13 = 661,699.13 : x
  2. Step 2: Convert to fraction form
    426,191.63/661,699.13 = 661,699.13/x
  3. Step 3: Cross multiply
    426,191.63x = 661,699.13 × 661,699.13
  4. Step 4: Simplify right side
    426,191.63x = 437,845,732,025.77
  5. Step 5: Solve for x
    x = 437,845,732,025.77/426,191.63
  6. Step 6: Final answer
    x = 1,027,344.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.