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Finding the Third Proportional to 388,405.13 and 590,717.81

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Solution

The third proportional to 388,405.13 and 590,717.81 is: 898,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,405.13 : 590,717.81 = 590,717.81 : x
  2. Step 2: Convert to fraction form
    388,405.13/590,717.81 = 590,717.81/x
  3. Step 3: Cross multiply
    388,405.13x = 590,717.81 × 590,717.81
  4. Step 4: Simplify right side
    388,405.13x = 348,947,534,004.79
  5. Step 5: Solve for x
    x = 348,947,534,004.79/388,405.13
  6. Step 6: Final answer
    x = 898,411.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.