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Finding the Third Proportional to 358,979 and 777,391

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Solution

The third proportional to 358,979 and 777,391 is: 1,683,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,979 : 777,391 = 777,391 : x
  2. Step 2: Convert to fraction form
    358,979/777,391 = 777,391/x
  3. Step 3: Cross multiply
    358,979x = 777,391 × 777,391
  4. Step 4: Simplify right side
    358,979x = 604,336,766,881
  5. Step 5: Solve for x
    x = 604,336,766,881/358,979
  6. Step 6: Final answer
    x = 1,683,487.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.