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Finding the Third Proportional to 355,210 and 760,960

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Solution

The third proportional to 355,210 and 760,960 is: 1,630,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,210 : 760,960 = 760,960 : x
  2. Step 2: Convert to fraction form
    355,210/760,960 = 760,960/x
  3. Step 3: Cross multiply
    355,210x = 760,960 × 760,960
  4. Step 4: Simplify right side
    355,210x = 579,060,121,600
  5. Step 5: Solve for x
    x = 579,060,121,600/355,210
  6. Step 6: Final answer
    x = 1,630,190.93

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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.