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Finding the Third Proportional to 147,312 and 228,612

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Solution

The third proportional to 147,312 and 228,612 is: 354,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,312 : 228,612 = 228,612 : x
  2. Step 2: Convert to fraction form
    147,312/228,612 = 228,612/x
  3. Step 3: Cross multiply
    147,312x = 228,612 × 228,612
  4. Step 4: Simplify right side
    147,312x = 52,263,446,544
  5. Step 5: Solve for x
    x = 52,263,446,544/147,312
  6. Step 6: Final answer
    x = 354,780.65

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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.