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Finding the Third Proportional to 509,184 and 770,208

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Solution

The third proportional to 509,184 and 770,208 is: 1,165,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,184 : 770,208 = 770,208 : x
  2. Step 2: Convert to fraction form
    509,184/770,208 = 770,208/x
  3. Step 3: Cross multiply
    509,184x = 770,208 × 770,208
  4. Step 4: Simplify right side
    509,184x = 593,220,363,264
  5. Step 5: Solve for x
    x = 593,220,363,264/509,184
  6. Step 6: Final answer
    x = 1,165,041.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.