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Finding the Third Proportional to 779,913 and 1,687,763

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Solution

The third proportional to 779,913 and 1,687,763 is: 3,652,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,913 : 1,687,763 = 1,687,763 : x
  2. Step 2: Convert to fraction form
    779,913/1,687,763 = 1,687,763/x
  3. Step 3: Cross multiply
    779,913x = 1,687,763 × 1,687,763
  4. Step 4: Simplify right side
    779,913x = 2,848,543,944,169
  5. Step 5: Solve for x
    x = 2,848,543,944,169/779,913
  6. Step 6: Final answer
    x = 3,652,386.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.