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Finding the Third Proportional to 439,074 and 677,835

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Solution

The third proportional to 439,074 and 677,835 is: 1,046,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,074 : 677,835 = 677,835 : x
  2. Step 2: Convert to fraction form
    439,074/677,835 = 677,835/x
  3. Step 3: Cross multiply
    439,074x = 677,835 × 677,835
  4. Step 4: Simplify right side
    439,074x = 459,460,287,225
  5. Step 5: Solve for x
    x = 459,460,287,225/439,074
  6. Step 6: Final answer
    x = 1,046,430.19

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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.