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Finding the Third Proportional to 770,712 and 1,210,596

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Solution

The third proportional to 770,712 and 1,210,596 is: 1,901,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,712 : 1,210,596 = 1,210,596 : x
  2. Step 2: Convert to fraction form
    770,712/1,210,596 = 1,210,596/x
  3. Step 3: Cross multiply
    770,712x = 1,210,596 × 1,210,596
  4. Step 4: Simplify right side
    770,712x = 1,465,542,675,216
  5. Step 5: Solve for x
    x = 1,465,542,675,216/770,712
  6. Step 6: Final answer
    x = 1,901,543.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.