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Finding the Third Proportional to 515,364 and 770,658

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Solution

The third proportional to 515,364 and 770,658 is: 1,152,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,364 : 770,658 = 770,658 : x
  2. Step 2: Convert to fraction form
    515,364/770,658 = 770,658/x
  3. Step 3: Cross multiply
    515,364x = 770,658 × 770,658
  4. Step 4: Simplify right side
    515,364x = 593,913,752,964
  5. Step 5: Solve for x
    x = 593,913,752,964/515,364
  6. Step 6: Final answer
    x = 1,152,416.07

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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.