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Finding the Third Proportional to 462,480 and 1,003,578

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Solution

The third proportional to 462,480 and 1,003,578 is: 2,177,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,480 : 1,003,578 = 1,003,578 : x
  2. Step 2: Convert to fraction form
    462,480/1,003,578 = 1,003,578/x
  3. Step 3: Cross multiply
    462,480x = 1,003,578 × 1,003,578
  4. Step 4: Simplify right side
    462,480x = 1,007,168,802,084
  5. Step 5: Solve for x
    x = 1,007,168,802,084/462,480
  6. Step 6: Final answer
    x = 2,177,756.45

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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.