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Finding the Third Proportional to 399,280 and 875,120

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Solution

The third proportional to 399,280 and 875,120 is: 1,918,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,280 : 875,120 = 875,120 : x
  2. Step 2: Convert to fraction form
    399,280/875,120 = 875,120/x
  3. Step 3: Cross multiply
    399,280x = 875,120 × 875,120
  4. Step 4: Simplify right side
    399,280x = 765,835,014,400
  5. Step 5: Solve for x
    x = 765,835,014,400/399,280
  6. Step 6: Final answer
    x = 1,918,040.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.