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Finding the Third Proportional to 78,632,450 and 163,542,788

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Solution

The third proportional to 78,632,450 and 163,542,788 is: 340,142,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632,450 : 163,542,788 = 163,542,788 : x
  2. Step 2: Convert to fraction form
    78,632,450/163,542,788 = 163,542,788/x
  3. Step 3: Cross multiply
    78,632,450x = 163,542,788 × 163,542,788
  4. Step 4: Simplify right side
    78,632,450x = 26,746,243,506,812,944
  5. Step 5: Solve for x
    x = 26,746,243,506,812,944/78,632,450
  6. Step 6: Final answer
    x = 340,142,568.45

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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.