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Finding the Third Proportional to 147,490 and 228,759

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Solution

The third proportional to 147,490 and 228,759 is: 354,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,490 : 228,759 = 228,759 : x
  2. Step 2: Convert to fraction form
    147,490/228,759 = 228,759/x
  3. Step 3: Cross multiply
    147,490x = 228,759 × 228,759
  4. Step 4: Simplify right side
    147,490x = 52,330,680,081
  5. Step 5: Solve for x
    x = 52,330,680,081/147,490
  6. Step 6: Final answer
    x = 354,808.33

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Why These Related Problems?

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