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Finding the Third Proportional to 134,640 and 209,070

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Solution

The third proportional to 134,640 and 209,070 is: 324,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,640 : 209,070 = 209,070 : x
  2. Step 2: Convert to fraction form
    134,640/209,070 = 209,070/x
  3. Step 3: Cross multiply
    134,640x = 209,070 × 209,070
  4. Step 4: Simplify right side
    134,640x = 43,710,264,900
  5. Step 5: Solve for x
    x = 43,710,264,900/134,640
  6. Step 6: Final answer
    x = 324,645.46

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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.