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Finding the Third Proportional to 270,998 and 402,578

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Solution

The third proportional to 270,998 and 402,578 is: 598,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,998 : 402,578 = 402,578 : x
  2. Step 2: Convert to fraction form
    270,998/402,578 = 402,578/x
  3. Step 3: Cross multiply
    270,998x = 402,578 × 402,578
  4. Step 4: Simplify right side
    270,998x = 162,069,046,084
  5. Step 5: Solve for x
    x = 162,069,046,084/270,998
  6. Step 6: Final answer
    x = 598,045.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.