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Finding the Third Proportional to 265,308.75 and 407,718.56

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Solution

The third proportional to 265,308.75 and 407,718.56 is: 626,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,308.75 : 407,718.56 = 407,718.56 : x
  2. Step 2: Convert to fraction form
    265,308.75/407,718.56 = 407,718.56/x
  3. Step 3: Cross multiply
    265,308.75x = 407,718.56 × 407,718.56
  4. Step 4: Simplify right side
    265,308.75x = 166,234,426,207.07
  5. Step 5: Solve for x
    x = 166,234,426,207.07/265,308.75
  6. Step 6: Final answer
    x = 626,569.71

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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.