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Finding the Third Proportional to 78,632,448 and 163,542,784

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Solution

The third proportional to 78,632,448 and 163,542,784 is: 340,142,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632,448 : 163,542,784 = 163,542,784 : x
  2. Step 2: Convert to fraction form
    78,632,448/163,542,784 = 163,542,784/x
  3. Step 3: Cross multiply
    78,632,448x = 163,542,784 × 163,542,784
  4. Step 4: Simplify right side
    78,632,448x = 26,746,242,198,470,656
  5. Step 5: Solve for x
    x = 26,746,242,198,470,656/78,632,448
  6. Step 6: Final answer
    x = 340,142,560.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.