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Finding the Third Proportional to 369,312 and 789,816

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Solution

The third proportional to 369,312 and 789,816 is: 1,689,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,312 : 789,816 = 789,816 : x
  2. Step 2: Convert to fraction form
    369,312/789,816 = 789,816/x
  3. Step 3: Cross multiply
    369,312x = 789,816 × 789,816
  4. Step 4: Simplify right side
    369,312x = 623,809,313,856
  5. Step 5: Solve for x
    x = 623,809,313,856/369,312
  6. Step 6: Final answer
    x = 1,689,111.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.