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Finding the Third Proportional to 340,452 and 740,574

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Solution

The third proportional to 340,452 and 740,574 is: 1,610,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,452 : 740,574 = 740,574 : x
  2. Step 2: Convert to fraction form
    340,452/740,574 = 740,574/x
  3. Step 3: Cross multiply
    340,452x = 740,574 × 740,574
  4. Step 4: Simplify right side
    340,452x = 548,449,849,476
  5. Step 5: Solve for x
    x = 548,449,849,476/340,452
  6. Step 6: Final answer
    x = 1,610,946.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.