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Finding the Third Proportional to 190,968 and 420,070.13

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Solution

The third proportional to 190,968 and 420,070.13 is: 924,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,968 : 420,070.13 = 420,070.13 : x
  2. Step 2: Convert to fraction form
    190,968/420,070.13 = 420,070.13/x
  3. Step 3: Cross multiply
    190,968x = 420,070.13 × 420,070.13
  4. Step 4: Simplify right side
    190,968x = 176,458,909,917.52
  5. Step 5: Solve for x
    x = 176,458,909,917.52/190,968
  6. Step 6: Final answer
    x = 924,023.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.