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Finding the Third Proportional to 265,888.83 and 387,407.81

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Solution

The third proportional to 265,888.83 and 387,407.81 is: 564,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,888.83 : 387,407.81 = 387,407.81 : x
  2. Step 2: Convert to fraction form
    265,888.83/387,407.81 = 387,407.81/x
  3. Step 3: Cross multiply
    265,888.83x = 387,407.81 × 387,407.81
  4. Step 4: Simplify right side
    265,888.83x = 150,084,813,186.04
  5. Step 5: Solve for x
    x = 150,084,813,186.04/265,888.83
  6. Step 6: Final answer
    x = 564,464.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.