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Finding the Third Proportional to 316,010 and 691,140

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Solution

The third proportional to 316,010 and 691,140 is: 1,511,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,010 : 691,140 = 691,140 : x
  2. Step 2: Convert to fraction form
    316,010/691,140 = 691,140/x
  3. Step 3: Cross multiply
    316,010x = 691,140 × 691,140
  4. Step 4: Simplify right side
    316,010x = 477,674,499,600
  5. Step 5: Solve for x
    x = 477,674,499,600/316,010
  6. Step 6: Final answer
    x = 1,511,580.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.