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Finding the Third Proportional to 308,828,816 and 678,864,556

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Solution

The third proportional to 308,828,816 and 678,864,556 is: 1,492,273,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,828,816 : 678,864,556 = 678,864,556 : x
  2. Step 2: Convert to fraction form
    308,828,816/678,864,556 = 678,864,556/x
  3. Step 3: Cross multiply
    308,828,816x = 678,864,556 × 678,864,556
  4. Step 4: Simplify right side
    308,828,816x = 460,857,085,393,077,120
  5. Step 5: Solve for x
    x = 460,857,085,393,077,120/308,828,816
  6. Step 6: Final answer
    x = 1,492,273,588.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.