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Finding the Third Proportional to 306,428,843 and 487,824,569

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Solution

The third proportional to 306,428,843 and 487,824,569 is: 776,600,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,428,843 : 487,824,569 = 487,824,569 : x
  2. Step 2: Convert to fraction form
    306,428,843/487,824,569 = 487,824,569/x
  3. Step 3: Cross multiply
    306,428,843x = 487,824,569 × 487,824,569
  4. Step 4: Simplify right side
    306,428,843x = 237,972,810,120,035,776
  5. Step 5: Solve for x
    x = 237,972,810,120,035,776/306,428,843
  6. Step 6: Final answer
    x = 776,600,556.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.