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Finding the Third Proportional to 208,708.50 and 314,999.63

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Solution

The third proportional to 208,708.50 and 314,999.63 is: 475,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,708.50 : 314,999.63 = 314,999.63 : x
  2. Step 2: Convert to fraction form
    208,708.50/314,999.63 = 314,999.63/x
  3. Step 3: Cross multiply
    208,708.50x = 314,999.63 × 314,999.63
  4. Step 4: Simplify right side
    208,708.50x = 99,224,763,750.14
  5. Step 5: Solve for x
    x = 99,224,763,750.14/208,708.50
  6. Step 6: Final answer
    x = 475,422.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.