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Finding the Third Proportional to 316,119 and 746,212.50

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Solution

The third proportional to 316,119 and 746,212.50 is: 1,761,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,119 : 746,212.50 = 746,212.50 : x
  2. Step 2: Convert to fraction form
    316,119/746,212.50 = 746,212.50/x
  3. Step 3: Cross multiply
    316,119x = 746,212.50 × 746,212.50
  4. Step 4: Simplify right side
    316,119x = 556,833,095,156.25
  5. Step 5: Solve for x
    x = 556,833,095,156.25/316,119
  6. Step 6: Final answer
    x = 1,761,466.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.