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Finding the Third Proportional to 85,309,480 and 183,759,680

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Solution

The third proportional to 85,309,480 and 183,759,680 is: 395,824,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309,480 : 183,759,680 = 183,759,680 : x
  2. Step 2: Convert to fraction form
    85,309,480/183,759,680 = 183,759,680/x
  3. Step 3: Cross multiply
    85,309,480x = 183,759,680 × 183,759,680
  4. Step 4: Simplify right side
    85,309,480x = 33,767,619,993,702,400
  5. Step 5: Solve for x
    x = 33,767,619,993,702,400/85,309,480
  6. Step 6: Final answer
    x = 395,824,942.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.