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Finding the Third Proportional to 778,760 and 1,689,712

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Solution

The third proportional to 778,760 and 1,689,712 is: 3,666,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,760 : 1,689,712 = 1,689,712 : x
  2. Step 2: Convert to fraction form
    778,760/1,689,712 = 1,689,712/x
  3. Step 3: Cross multiply
    778,760x = 1,689,712 × 1,689,712
  4. Step 4: Simplify right side
    778,760x = 2,855,126,642,944
  5. Step 5: Solve for x
    x = 2,855,126,642,944/778,760
  6. Step 6: Final answer
    x = 3,666,247.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.