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Finding the Third Proportional to 497,988 and 715,878

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Solution

The third proportional to 497,988 and 715,878 is: 1,029,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,988 : 715,878 = 715,878 : x
  2. Step 2: Convert to fraction form
    497,988/715,878 = 715,878/x
  3. Step 3: Cross multiply
    497,988x = 715,878 × 715,878
  4. Step 4: Simplify right side
    497,988x = 512,481,310,884
  5. Step 5: Solve for x
    x = 512,481,310,884/497,988
  6. Step 6: Final answer
    x = 1,029,103.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.