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Finding the Third Proportional to 499,112 and 775,740

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Solution

The third proportional to 499,112 and 775,740 is: 1,205,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,112 : 775,740 = 775,740 : x
  2. Step 2: Convert to fraction form
    499,112/775,740 = 775,740/x
  3. Step 3: Cross multiply
    499,112x = 775,740 × 775,740
  4. Step 4: Simplify right side
    499,112x = 601,772,547,600
  5. Step 5: Solve for x
    x = 601,772,547,600/499,112
  6. Step 6: Final answer
    x = 1,205,686.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.