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Finding the Third Proportional to 356,853.38 and 553,208.81

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Solution

The third proportional to 356,853.38 and 553,208.81 is: 857,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,853.38 : 553,208.81 = 553,208.81 : x
  2. Step 2: Convert to fraction form
    356,853.38/553,208.81 = 553,208.81/x
  3. Step 3: Cross multiply
    356,853.38x = 553,208.81 × 553,208.81
  4. Step 4: Simplify right side
    356,853.38x = 306,039,990,227.66
  5. Step 5: Solve for x
    x = 306,039,990,227.66/356,853.38
  6. Step 6: Final answer
    x = 857,607.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.