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Finding the Third Proportional to 356,218 and 767,732

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Solution

The third proportional to 356,218 and 767,732 is: 1,654,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,218 : 767,732 = 767,732 : x
  2. Step 2: Convert to fraction form
    356,218/767,732 = 767,732/x
  3. Step 3: Cross multiply
    356,218x = 767,732 × 767,732
  4. Step 4: Simplify right side
    356,218x = 589,412,423,824
  5. Step 5: Solve for x
    x = 589,412,423,824/356,218
  6. Step 6: Final answer
    x = 1,654,639.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.