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Finding the Third Proportional to 140,078 and 201,364

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Solution

The third proportional to 140,078 and 201,364 is: 289,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,078 : 201,364 = 201,364 : x
  2. Step 2: Convert to fraction form
    140,078/201,364 = 201,364/x
  3. Step 3: Cross multiply
    140,078x = 201,364 × 201,364
  4. Step 4: Simplify right side
    140,078x = 40,547,460,496
  5. Step 5: Solve for x
    x = 40,547,460,496/140,078
  6. Step 6: Final answer
    x = 289,463.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.