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Finding the Third Proportional to 539,123,983 and 770,422,222

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Solution

The third proportional to 539,123,983 and 770,422,222 is: 1,100,953,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,123,983 : 770,422,222 = 770,422,222 : x
  2. Step 2: Convert to fraction form
    539,123,983/770,422,222 = 770,422,222/x
  3. Step 3: Cross multiply
    539,123,983x = 770,422,222 × 770,422,222
  4. Step 4: Simplify right side
    539,123,983x = 593,550,400,151,417,344
  5. Step 5: Solve for x
    x = 593,550,400,151,417,344/539,123,983
  6. Step 6: Final answer
    x = 1,100,953,433.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.