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Finding the Third Proportional to 358,884 and 777,216

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Solution

The third proportional to 358,884 and 777,216 is: 1,683,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,884 : 777,216 = 777,216 : x
  2. Step 2: Convert to fraction form
    358,884/777,216 = 777,216/x
  3. Step 3: Cross multiply
    358,884x = 777,216 × 777,216
  4. Step 4: Simplify right side
    358,884x = 604,064,710,656
  5. Step 5: Solve for x
    x = 604,064,710,656/358,884
  6. Step 6: Final answer
    x = 1,683,175.37

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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.