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Finding the Third Proportional to 326,090 and 428,807

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Solution

The third proportional to 326,090 and 428,807 is: 563,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,090 : 428,807 = 428,807 : x
  2. Step 2: Convert to fraction form
    326,090/428,807 = 428,807/x
  3. Step 3: Cross multiply
    326,090x = 428,807 × 428,807
  4. Step 4: Simplify right side
    326,090x = 183,875,443,249
  5. Step 5: Solve for x
    x = 183,875,443,249/326,090
  6. Step 6: Final answer
    x = 563,879.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.