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Finding the Third Proportional to 356,815.13 and 553,341.38

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Solution

The third proportional to 356,815.13 and 553,341.38 is: 858,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,815.13 : 553,341.38 = 553,341.38 : x
  2. Step 2: Convert to fraction form
    356,815.13/553,341.38 = 553,341.38/x
  3. Step 3: Cross multiply
    356,815.13x = 553,341.38 × 553,341.38
  4. Step 4: Simplify right side
    356,815.13x = 306,186,677,286.89
  5. Step 5: Solve for x
    x = 306,186,677,286.89/356,815.13
  6. Step 6: Final answer
    x = 858,110.14

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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.