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Finding the Third Proportional to 94,710.50 and 147,046

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Solution

The third proportional to 94,710.50 and 147,046 is: 228,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,710.50 : 147,046 = 147,046 : x
  2. Step 2: Convert to fraction form
    94,710.50/147,046 = 147,046/x
  3. Step 3: Cross multiply
    94,710.50x = 147,046 × 147,046
  4. Step 4: Simplify right side
    94,710.50x = 21,622,526,116
  5. Step 5: Solve for x
    x = 21,622,526,116/94,710.50
  6. Step 6: Final answer
    x = 228,301.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.