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Finding the Third Proportional to 308,561,616 and 658,970,559

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Solution

The third proportional to 308,561,616 and 658,970,559 is: 1,407,311,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,561,616 : 658,970,559 = 658,970,559 : x
  2. Step 2: Convert to fraction form
    308,561,616/658,970,559 = 658,970,559/x
  3. Step 3: Cross multiply
    308,561,616x = 658,970,559 × 658,970,559
  4. Step 4: Simplify right side
    308,561,616x = 434,242,197,628,772,480
  5. Step 5: Solve for x
    x = 434,242,197,628,772,480/308,561,616
  6. Step 6: Final answer
    x = 1,407,311,133.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.