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Finding the Third Proportional to 275,125.50 and 648,429

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Solution

The third proportional to 275,125.50 and 648,429 is: 1,528,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,125.50 : 648,429 = 648,429 : x
  2. Step 2: Convert to fraction form
    275,125.50/648,429 = 648,429/x
  3. Step 3: Cross multiply
    275,125.50x = 648,429 × 648,429
  4. Step 4: Simplify right side
    275,125.50x = 420,460,168,041
  5. Step 5: Solve for x
    x = 420,460,168,041/275,125.50
  6. Step 6: Final answer
    x = 1,528,248.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.