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Finding the Third Proportional to 780,968 and 1,292,556

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Solution

The third proportional to 780,968 and 1,292,556 is: 2,139,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,968 : 1,292,556 = 1,292,556 : x
  2. Step 2: Convert to fraction form
    780,968/1,292,556 = 1,292,556/x
  3. Step 3: Cross multiply
    780,968x = 1,292,556 × 1,292,556
  4. Step 4: Simplify right side
    780,968x = 1,670,701,013,136
  5. Step 5: Solve for x
    x = 1,670,701,013,136/780,968
  6. Step 6: Final answer
    x = 2,139,269.49

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.