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Finding the Third Proportional to 74,999.63 and 158,430

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Solution

The third proportional to 74,999.63 and 158,430 is: 334,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,999.63 : 158,430 = 158,430 : x
  2. Step 2: Convert to fraction form
    74,999.63/158,430 = 158,430/x
  3. Step 3: Cross multiply
    74,999.63x = 158,430 × 158,430
  4. Step 4: Simplify right side
    74,999.63x = 25,100,064,900
  5. Step 5: Solve for x
    x = 25,100,064,900/74,999.63
  6. Step 6: Final answer
    x = 334,669.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.