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Finding the Third Proportional to 497,178 and 777,747

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Solution

The third proportional to 497,178 and 777,747 is: 1,216,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,178 : 777,747 = 777,747 : x
  2. Step 2: Convert to fraction form
    497,178/777,747 = 777,747/x
  3. Step 3: Cross multiply
    497,178x = 777,747 × 777,747
  4. Step 4: Simplify right side
    497,178x = 604,890,396,009
  5. Step 5: Solve for x
    x = 604,890,396,009/497,178
  6. Step 6: Final answer
    x = 1,216,647.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.