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Finding the Third Proportional to 1,209,753,820 and 1,868,356,098

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Solution

The third proportional to 1,209,753,820 and 1,868,356,098 is: 2,885,508,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,753,820 : 1,868,356,098 = 1,868,356,098 : x
  2. Step 2: Convert to fraction form
    1,209,753,820/1,868,356,098 = 1,868,356,098/x
  3. Step 3: Cross multiply
    1,209,753,820x = 1,868,356,098 × 1,868,356,098
  4. Step 4: Simplify right side
    1,209,753,820x = 3,490,754,508,933,785,600
  5. Step 5: Solve for x
    x = 3,490,754,508,933,785,600/1,209,753,820
  6. Step 6: Final answer
    x = 2,885,508,151.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.