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Finding the Third Proportional to 150,219,085.50 and 320,280,276

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Solution

The third proportional to 150,219,085.50 and 320,280,276 is: 682,865,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,219,085.50 : 320,280,276 = 320,280,276 : x
  2. Step 2: Convert to fraction form
    150,219,085.50/320,280,276 = 320,280,276/x
  3. Step 3: Cross multiply
    150,219,085.50x = 320,280,276 × 320,280,276
  4. Step 4: Simplify right side
    150,219,085.50x = 102,579,455,194,636,176
  5. Step 5: Solve for x
    x = 102,579,455,194,636,176/150,219,085.50
  6. Step 6: Final answer
    x = 682,865,661.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.