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Finding the Third Proportional to 265,994 and 399,639

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Solution

The third proportional to 265,994 and 399,639 is: 600,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,994 : 399,639 = 399,639 : x
  2. Step 2: Convert to fraction form
    265,994/399,639 = 399,639/x
  3. Step 3: Cross multiply
    265,994x = 399,639 × 399,639
  4. Step 4: Simplify right side
    265,994x = 159,711,330,321
  5. Step 5: Solve for x
    x = 159,711,330,321/265,994
  6. Step 6: Final answer
    x = 600,432.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.