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Finding the Third Proportional to 140,746 and 207,410

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Solution

The third proportional to 140,746 and 207,410 is: 305,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,746 : 207,410 = 207,410 : x
  2. Step 2: Convert to fraction form
    140,746/207,410 = 207,410/x
  3. Step 3: Cross multiply
    140,746x = 207,410 × 207,410
  4. Step 4: Simplify right side
    140,746x = 43,018,908,100
  5. Step 5: Solve for x
    x = 43,018,908,100/140,746
  6. Step 6: Final answer
    x = 305,649.24

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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.