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Finding the Third Proportional to 429,248 and 847,686

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Solution

The third proportional to 429,248 and 847,686 is: 1,674,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,248 : 847,686 = 847,686 : x
  2. Step 2: Convert to fraction form
    429,248/847,686 = 847,686/x
  3. Step 3: Cross multiply
    429,248x = 847,686 × 847,686
  4. Step 4: Simplify right side
    429,248x = 718,571,554,596
  5. Step 5: Solve for x
    x = 718,571,554,596/429,248
  6. Step 6: Final answer
    x = 1,674,024.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.