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Finding the Third Proportional to 315,570 and 684,642

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Solution

The third proportional to 315,570 and 684,642 is: 1,485,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,570 : 684,642 = 684,642 : x
  2. Step 2: Convert to fraction form
    315,570/684,642 = 684,642/x
  3. Step 3: Cross multiply
    315,570x = 684,642 × 684,642
  4. Step 4: Simplify right side
    315,570x = 468,734,668,164
  5. Step 5: Solve for x
    x = 468,734,668,164/315,570
  6. Step 6: Final answer
    x = 1,485,358.77

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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.