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Finding the Third Proportional to 338,798 and 715,180

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Solution

The third proportional to 338,798 and 715,180 is: 1,509,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,798 : 715,180 = 715,180 : x
  2. Step 2: Convert to fraction form
    338,798/715,180 = 715,180/x
  3. Step 3: Cross multiply
    338,798x = 715,180 × 715,180
  4. Step 4: Simplify right side
    338,798x = 511,482,432,400
  5. Step 5: Solve for x
    x = 511,482,432,400/338,798
  6. Step 6: Final answer
    x = 1,509,697.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.