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Finding the Third Proportional to 392,426 and 847,576

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Solution

The third proportional to 392,426 and 847,576 is: 1,830,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,426 : 847,576 = 847,576 : x
  2. Step 2: Convert to fraction form
    392,426/847,576 = 847,576/x
  3. Step 3: Cross multiply
    392,426x = 847,576 × 847,576
  4. Step 4: Simplify right side
    392,426x = 718,385,075,776
  5. Step 5: Solve for x
    x = 718,385,075,776/392,426
  6. Step 6: Final answer
    x = 1,830,625.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.