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Finding the Third Proportional to 305,220,360 and 661,109,136

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Solution

The third proportional to 305,220,360 and 661,109,136 is: 1,431,966,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,220,360 : 661,109,136 = 661,109,136 : x
  2. Step 2: Convert to fraction form
    305,220,360/661,109,136 = 661,109,136/x
  3. Step 3: Cross multiply
    305,220,360x = 661,109,136 × 661,109,136
  4. Step 4: Simplify right side
    305,220,360x = 437,065,289,702,666,496
  5. Step 5: Solve for x
    x = 437,065,289,702,666,496/305,220,360
  6. Step 6: Final answer
    x = 1,431,966,365.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.