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Finding the Third Proportional to 778,786 and 1,137,556

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Solution

The third proportional to 778,786 and 1,137,556 is: 1,661,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,786 : 1,137,556 = 1,137,556 : x
  2. Step 2: Convert to fraction form
    778,786/1,137,556 = 1,137,556/x
  3. Step 3: Cross multiply
    778,786x = 1,137,556 × 1,137,556
  4. Step 4: Simplify right side
    778,786x = 1,294,033,653,136
  5. Step 5: Solve for x
    x = 1,294,033,653,136/778,786
  6. Step 6: Final answer
    x = 1,661,603.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.