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Finding the Third Proportional to 259,045.50 and 399,643.50

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Solution

The third proportional to 259,045.50 and 399,643.50 is: 616,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,045.50 : 399,643.50 = 399,643.50 : x
  2. Step 2: Convert to fraction form
    259,045.50/399,643.50 = 399,643.50/x
  3. Step 3: Cross multiply
    259,045.50x = 399,643.50 × 399,643.50
  4. Step 4: Simplify right side
    259,045.50x = 159,714,927,092.25
  5. Step 5: Solve for x
    x = 159,714,927,092.25/259,045.50
  6. Step 6: Final answer
    x = 616,551.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.