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Finding the Third Proportional to 688,858,908 and 1,063,746,420

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Solution

The third proportional to 688,858,908 and 1,063,746,420 is: 1,642,653,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,858,908 : 1,063,746,420 = 1,063,746,420 : x
  2. Step 2: Convert to fraction form
    688,858,908/1,063,746,420 = 1,063,746,420/x
  3. Step 3: Cross multiply
    688,858,908x = 1,063,746,420 × 1,063,746,420
  4. Step 4: Simplify right side
    688,858,908x = 1,131,556,446,062,816,384
  5. Step 5: Solve for x
    x = 1,131,556,446,062,816,384/688,858,908
  6. Step 6: Final answer
    x = 1,642,653,427.17

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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.