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Finding the Third Proportional to 431,140 and 579,999

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Solution

The third proportional to 431,140 and 579,999 is: 780,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,140 : 579,999 = 579,999 : x
  2. Step 2: Convert to fraction form
    431,140/579,999 = 579,999/x
  3. Step 3: Cross multiply
    431,140x = 579,999 × 579,999
  4. Step 4: Simplify right side
    431,140x = 336,398,840,001
  5. Step 5: Solve for x
    x = 336,398,840,001/431,140
  6. Step 6: Final answer
    x = 780,254.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.