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Finding the Third Proportional to 356,643.50 and 554,009.50

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Solution

The third proportional to 356,643.50 and 554,009.50 is: 860,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,643.50 : 554,009.50 = 554,009.50 : x
  2. Step 2: Convert to fraction form
    356,643.50/554,009.50 = 554,009.50/x
  3. Step 3: Cross multiply
    356,643.50x = 554,009.50 × 554,009.50
  4. Step 4: Simplify right side
    356,643.50x = 306,926,526,090.25
  5. Step 5: Solve for x
    x = 306,926,526,090.25/356,643.50
  6. Step 6: Final answer
    x = 860,597.56

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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.