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Finding the Third Proportional to 777,822 and 1,688,430

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Solution

The third proportional to 777,822 and 1,688,430 is: 3,665,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,822 : 1,688,430 = 1,688,430 : x
  2. Step 2: Convert to fraction form
    777,822/1,688,430 = 1,688,430/x
  3. Step 3: Cross multiply
    777,822x = 1,688,430 × 1,688,430
  4. Step 4: Simplify right side
    777,822x = 2,850,795,864,900
  5. Step 5: Solve for x
    x = 2,850,795,864,900/777,822
  6. Step 6: Final answer
    x = 3,665,100.58

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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.