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Finding the Third Proportional to 319,599,378 and 689,545,764

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Solution

The third proportional to 319,599,378 and 689,545,764 is: 1,487,716,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,599,378 : 689,545,764 = 689,545,764 : x
  2. Step 2: Convert to fraction form
    319,599,378/689,545,764 = 689,545,764/x
  3. Step 3: Cross multiply
    319,599,378x = 689,545,764 × 689,545,764
  4. Step 4: Simplify right side
    319,599,378x = 475,473,360,650,343,680
  5. Step 5: Solve for x
    x = 475,473,360,650,343,680/319,599,378
  6. Step 6: Final answer
    x = 1,487,716,789.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.