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Finding the Third Proportional to 206,903,808 and 324,570,240

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Solution

The third proportional to 206,903,808 and 324,570,240 is: 509,153,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,903,808 : 324,570,240 = 324,570,240 : x
  2. Step 2: Convert to fraction form
    206,903,808/324,570,240 = 324,570,240/x
  3. Step 3: Cross multiply
    206,903,808x = 324,570,240 × 324,570,240
  4. Step 4: Simplify right side
    206,903,808x = 105,345,840,693,657,600
  5. Step 5: Solve for x
    x = 105,345,840,693,657,600/206,903,808
  6. Step 6: Final answer
    x = 509,153,706.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.