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Finding the Third Proportional to 281,942 and 657,888

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Solution

The third proportional to 281,942 and 657,888 is: 1,535,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,942 : 657,888 = 657,888 : x
  2. Step 2: Convert to fraction form
    281,942/657,888 = 657,888/x
  3. Step 3: Cross multiply
    281,942x = 657,888 × 657,888
  4. Step 4: Simplify right side
    281,942x = 432,816,620,544
  5. Step 5: Solve for x
    x = 432,816,620,544/281,942
  6. Step 6: Final answer
    x = 1,535,126.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.