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Finding the Third Proportional to 349,340 and 512,502

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Solution

The third proportional to 349,340 and 512,502 is: 751,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,340 : 512,502 = 512,502 : x
  2. Step 2: Convert to fraction form
    349,340/512,502 = 512,502/x
  3. Step 3: Cross multiply
    349,340x = 512,502 × 512,502
  4. Step 4: Simplify right side
    349,340x = 262,658,300,004
  5. Step 5: Solve for x
    x = 262,658,300,004/349,340
  6. Step 6: Final answer
    x = 751,870.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.