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Finding the Third Proportional to 358,977 and 777,387

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Solution

The third proportional to 358,977 and 777,387 is: 1,683,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,977 : 777,387 = 777,387 : x
  2. Step 2: Convert to fraction form
    358,977/777,387 = 777,387/x
  3. Step 3: Cross multiply
    358,977x = 777,387 × 777,387
  4. Step 4: Simplify right side
    358,977x = 604,330,547,769
  5. Step 5: Solve for x
    x = 604,330,547,769/358,977
  6. Step 6: Final answer
    x = 1,683,479.85

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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.