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Finding the Third Proportional to 257,161.50 and 407,539.69

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Solution

The third proportional to 257,161.50 and 407,539.69 is: 645,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,161.50 : 407,539.69 = 407,539.69 : x
  2. Step 2: Convert to fraction form
    257,161.50/407,539.69 = 407,539.69/x
  3. Step 3: Cross multiply
    257,161.50x = 407,539.69 × 407,539.69
  4. Step 4: Simplify right side
    257,161.50x = 166,088,596,887.60
  5. Step 5: Solve for x
    x = 166,088,596,887.60/257,161.50
  6. Step 6: Final answer
    x = 645,853.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.