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Finding the Third Proportional to 229,557 and 356,310

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Solution

The third proportional to 229,557 and 356,310 is: 553,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,557 : 356,310 = 356,310 : x
  2. Step 2: Convert to fraction form
    229,557/356,310 = 356,310/x
  3. Step 3: Cross multiply
    229,557x = 356,310 × 356,310
  4. Step 4: Simplify right side
    229,557x = 126,956,816,100
  5. Step 5: Solve for x
    x = 126,956,816,100/229,557
  6. Step 6: Final answer
    x = 553,051.38

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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.