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Finding the Third Proportional to 286,271 and 611,907

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Solution

The third proportional to 286,271 and 611,907 is: 1,307,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,271 : 611,907 = 611,907 : x
  2. Step 2: Convert to fraction form
    286,271/611,907 = 611,907/x
  3. Step 3: Cross multiply
    286,271x = 611,907 × 611,907
  4. Step 4: Simplify right side
    286,271x = 374,430,176,649
  5. Step 5: Solve for x
    x = 374,430,176,649/286,271
  6. Step 6: Final answer
    x = 1,307,957.06

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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.