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Finding the Third Proportional to 257,035.50 and 384,041.25

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Solution

The third proportional to 257,035.50 and 384,041.25 is: 573,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,035.50 : 384,041.25 = 384,041.25 : x
  2. Step 2: Convert to fraction form
    257,035.50/384,041.25 = 384,041.25/x
  3. Step 3: Cross multiply
    257,035.50x = 384,041.25 × 384,041.25
  4. Step 4: Simplify right side
    257,035.50x = 147,487,681,701.56
  5. Step 5: Solve for x
    x = 147,487,681,701.56/257,035.50
  6. Step 6: Final answer
    x = 573,802.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.