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Finding the Third Proportional to 190,810 and 302,070

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Solution

The third proportional to 190,810 and 302,070 is: 478,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,810 : 302,070 = 302,070 : x
  2. Step 2: Convert to fraction form
    190,810/302,070 = 302,070/x
  3. Step 3: Cross multiply
    190,810x = 302,070 × 302,070
  4. Step 4: Simplify right side
    190,810x = 91,246,284,900
  5. Step 5: Solve for x
    x = 91,246,284,900/190,810
  6. Step 6: Final answer
    x = 478,204.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.