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Finding the Third Proportional to 356,610,691 and 776,530,317

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Solution

The third proportional to 356,610,691 and 776,530,317 is: 1,690,917,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,610,691 : 776,530,317 = 776,530,317 : x
  2. Step 2: Convert to fraction form
    356,610,691/776,530,317 = 776,530,317/x
  3. Step 3: Cross multiply
    356,610,691x = 776,530,317 × 776,530,317
  4. Step 4: Simplify right side
    356,610,691x = 602,999,333,220,120,448
  5. Step 5: Solve for x
    x = 602,999,333,220,120,448/356,610,691
  6. Step 6: Final answer
    x = 1,690,917,710.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.