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Finding the Third Proportional to 354,988 and 772,184

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Solution

The third proportional to 354,988 and 772,184 is: 1,679,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,988 : 772,184 = 772,184 : x
  2. Step 2: Convert to fraction form
    354,988/772,184 = 772,184/x
  3. Step 3: Cross multiply
    354,988x = 772,184 × 772,184
  4. Step 4: Simplify right side
    354,988x = 596,268,129,856
  5. Step 5: Solve for x
    x = 596,268,129,856/354,988
  6. Step 6: Final answer
    x = 1,679,685.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.