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Finding the Third Proportional to 1,389,732,808 and 2,117,161,866

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Solution

The third proportional to 1,389,732,808 and 2,117,161,866 is: 3,225,349,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389,732,808 : 2,117,161,866 = 2,117,161,866 : x
  2. Step 2: Convert to fraction form
    1,389,732,808/2,117,161,866 = 2,117,161,866/x
  3. Step 3: Cross multiply
    1,389,732,808x = 2,117,161,866 × 2,117,161,866
  4. Step 4: Simplify right side
    1,389,732,808x = 4,482,374,366,844,601,856
  5. Step 5: Solve for x
    x = 4,482,374,366,844,601,856/1,389,732,808
  6. Step 6: Final answer
    x = 3,225,349,751.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.