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Finding the Third Proportional to 255,608.71 and 553,816.46

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Solution

The third proportional to 255,608.71 and 553,816.46 is: 1,199,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,608.71 : 553,816.46 = 553,816.46 : x
  2. Step 2: Convert to fraction form
    255,608.71/553,816.46 = 553,816.46/x
  3. Step 3: Cross multiply
    255,608.71x = 553,816.46 × 553,816.46
  4. Step 4: Simplify right side
    255,608.71x = 306,712,670,242.02
  5. Step 5: Solve for x
    x = 306,712,670,242.02/255,608.71
  6. Step 6: Final answer
    x = 1,199,930.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.