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Finding the Third Proportional to 130,410 and 201,780

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Solution

The third proportional to 130,410 and 201,780 is: 312,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,410 : 201,780 = 201,780 : x
  2. Step 2: Convert to fraction form
    130,410/201,780 = 201,780/x
  3. Step 3: Cross multiply
    130,410x = 201,780 × 201,780
  4. Step 4: Simplify right side
    130,410x = 40,715,168,400
  5. Step 5: Solve for x
    x = 40,715,168,400/130,410
  6. Step 6: Final answer
    x = 312,208.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.