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Finding the Third Proportional to 387,326.81 and 838,970.16

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Solution

The third proportional to 387,326.81 and 838,970.16 is: 1,817,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,326.81 : 838,970.16 = 838,970.16 : x
  2. Step 2: Convert to fraction form
    387,326.81/838,970.16 = 838,970.16/x
  3. Step 3: Cross multiply
    387,326.81x = 838,970.16 × 838,970.16
  4. Step 4: Simplify right side
    387,326.81x = 703,870,923,078.15
  5. Step 5: Solve for x
    x = 703,870,923,078.15/387,326.81
  6. Step 6: Final answer
    x = 1,817,253.29

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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.