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Finding the Third Proportional to 399,428 and 869,380

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Solution

The third proportional to 399,428 and 869,380 is: 1,892,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,428 : 869,380 = 869,380 : x
  2. Step 2: Convert to fraction form
    399,428/869,380 = 869,380/x
  3. Step 3: Cross multiply
    399,428x = 869,380 × 869,380
  4. Step 4: Simplify right side
    399,428x = 755,821,584,400
  5. Step 5: Solve for x
    x = 755,821,584,400/399,428
  6. Step 6: Final answer
    x = 1,892,259.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.