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Finding the Third Proportional to 298,211.63 and 460,728

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Solution

The third proportional to 298,211.63 and 460,728 is: 711,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,211.63 : 460,728 = 460,728 : x
  2. Step 2: Convert to fraction form
    298,211.63/460,728 = 460,728/x
  3. Step 3: Cross multiply
    298,211.63x = 460,728 × 460,728
  4. Step 4: Simplify right side
    298,211.63x = 212,270,289,984
  5. Step 5: Solve for x
    x = 212,270,289,984/298,211.63
  6. Step 6: Final answer
    x = 711,810.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.