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Finding the Third Proportional to 155,428 and 332,907

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Solution

The third proportional to 155,428 and 332,907 is: 713,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,428 : 332,907 = 332,907 : x
  2. Step 2: Convert to fraction form
    155,428/332,907 = 332,907/x
  3. Step 3: Cross multiply
    155,428x = 332,907 × 332,907
  4. Step 4: Simplify right side
    155,428x = 110,827,070,649
  5. Step 5: Solve for x
    x = 110,827,070,649/155,428
  6. Step 6: Final answer
    x = 713,044.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.