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Finding the Third Proportional to 78,476,623 and 183,298,487

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Solution

The third proportional to 78,476,623 and 183,298,487 is: 428,131,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,476,623 : 183,298,487 = 183,298,487 : x
  2. Step 2: Convert to fraction form
    78,476,623/183,298,487 = 183,298,487/x
  3. Step 3: Cross multiply
    78,476,623x = 183,298,487 × 183,298,487
  4. Step 4: Simplify right side
    78,476,623x = 33,598,335,336,489,168
  5. Step 5: Solve for x
    x = 33,598,335,336,489,168/78,476,623
  6. Step 6: Final answer
    x = 428,131,767.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.