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Finding the Third Proportional to 307,990,320 and 684,842,304

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Solution

The third proportional to 307,990,320 and 684,842,304 is: 1,522,804,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,990,320 : 684,842,304 = 684,842,304 : x
  2. Step 2: Convert to fraction form
    307,990,320/684,842,304 = 684,842,304/x
  3. Step 3: Cross multiply
    307,990,320x = 684,842,304 × 684,842,304
  4. Step 4: Simplify right side
    307,990,320x = 469,008,981,348,028,416
  5. Step 5: Solve for x
    x = 469,008,981,348,028,416/307,990,320
  6. Step 6: Final answer
    x = 1,522,804,292.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.