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Finding the Third Proportional to 340,454 and 740,578

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Solution

The third proportional to 340,454 and 740,578 is: 1,610,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,454 : 740,578 = 740,578 : x
  2. Step 2: Convert to fraction form
    340,454/740,578 = 740,578/x
  3. Step 3: Cross multiply
    340,454x = 740,578 × 740,578
  4. Step 4: Simplify right side
    340,454x = 548,455,774,084
  5. Step 5: Solve for x
    x = 548,455,774,084/340,454
  6. Step 6: Final answer
    x = 1,610,954.12

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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.