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Finding the Third Proportional to 288,770 and 460,803

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Solution

The third proportional to 288,770 and 460,803 is: 735,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,770 : 460,803 = 460,803 : x
  2. Step 2: Convert to fraction form
    288,770/460,803 = 460,803/x
  3. Step 3: Cross multiply
    288,770x = 460,803 × 460,803
  4. Step 4: Simplify right side
    288,770x = 212,339,404,809
  5. Step 5: Solve for x
    x = 212,339,404,809/288,770
  6. Step 6: Final answer
    x = 735,323.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.