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Finding the Third Proportional to 315,257.06 and 683,938.69

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Solution

The third proportional to 315,257.06 and 683,938.69 is: 1,483,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,257.06 : 683,938.69 = 683,938.69 : x
  2. Step 2: Convert to fraction form
    315,257.06/683,938.69 = 683,938.69/x
  3. Step 3: Cross multiply
    315,257.06x = 683,938.69 × 683,938.69
  4. Step 4: Simplify right side
    315,257.06x = 467,772,128,259.22
  5. Step 5: Solve for x
    x = 467,772,128,259.22/315,257.06
  6. Step 6: Final answer
    x = 1,483,780.01

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