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Finding the Third Proportional to 316,779 and 689,325.38

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Solution

The third proportional to 316,779 and 689,325.38 is: 1,500,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,779 : 689,325.38 = 689,325.38 : x
  2. Step 2: Convert to fraction form
    316,779/689,325.38 = 689,325.38/x
  3. Step 3: Cross multiply
    316,779x = 689,325.38 × 689,325.38
  4. Step 4: Simplify right side
    316,779x = 475,169,472,618.89
  5. Step 5: Solve for x
    x = 475,169,472,618.89/316,779
  6. Step 6: Final answer
    x = 1,500,003.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.