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Finding the Third Proportional to 128,256,501 and 285,132,570

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Solution

The third proportional to 128,256,501 and 285,132,570 is: 633,890,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,256,501 : 285,132,570 = 285,132,570 : x
  2. Step 2: Convert to fraction form
    128,256,501/285,132,570 = 285,132,570/x
  3. Step 3: Cross multiply
    128,256,501x = 285,132,570 × 285,132,570
  4. Step 4: Simplify right side
    128,256,501x = 81,300,582,474,804,896
  5. Step 5: Solve for x
    x = 81,300,582,474,804,896/128,256,501
  6. Step 6: Final answer
    x = 633,890,538.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.