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Finding the Third Proportional to 577,448 and 1,191,510

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Solution

The third proportional to 577,448 and 1,191,510 is: 2,458,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,448 : 1,191,510 = 1,191,510 : x
  2. Step 2: Convert to fraction form
    577,448/1,191,510 = 1,191,510/x
  3. Step 3: Cross multiply
    577,448x = 1,191,510 × 1,191,510
  4. Step 4: Simplify right side
    577,448x = 1,419,696,080,100
  5. Step 5: Solve for x
    x = 1,419,696,080,100/577,448
  6. Step 6: Final answer
    x = 2,458,569.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.