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Finding the Third Proportional to 130,070 and 190,420

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Solution

The third proportional to 130,070 and 190,420 is: 278,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,070 : 190,420 = 190,420 : x
  2. Step 2: Convert to fraction form
    130,070/190,420 = 190,420/x
  3. Step 3: Cross multiply
    130,070x = 190,420 × 190,420
  4. Step 4: Simplify right side
    130,070x = 36,259,776,400
  5. Step 5: Solve for x
    x = 36,259,776,400/130,070
  6. Step 6: Final answer
    x = 278,771.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.