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Finding the Third Proportional to 355,490 and 760,803

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Solution

The third proportional to 355,490 and 760,803 is: 1,628,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,490 : 760,803 = 760,803 : x
  2. Step 2: Convert to fraction form
    355,490/760,803 = 760,803/x
  3. Step 3: Cross multiply
    355,490x = 760,803 × 760,803
  4. Step 4: Simplify right side
    355,490x = 578,821,204,809
  5. Step 5: Solve for x
    x = 578,821,204,809/355,490
  6. Step 6: Final answer
    x = 1,628,234.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.