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Finding the Third Proportional to 319,293,816 and 689,681,136

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Solution

The third proportional to 319,293,816 and 689,681,136 is: 1,489,725,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,293,816 : 689,681,136 = 689,681,136 : x
  2. Step 2: Convert to fraction form
    319,293,816/689,681,136 = 689,681,136/x
  3. Step 3: Cross multiply
    319,293,816x = 689,681,136 × 689,681,136
  4. Step 4: Simplify right side
    319,293,816x = 475,660,069,354,250,496
  5. Step 5: Solve for x
    x = 475,660,069,354,250,496/319,293,816
  6. Step 6: Final answer
    x = 1,489,725,279.72

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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.