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Finding the Third Proportional to 142,470 and 211,509

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Solution

The third proportional to 142,470 and 211,509 is: 314,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,470 : 211,509 = 211,509 : x
  2. Step 2: Convert to fraction form
    142,470/211,509 = 211,509/x
  3. Step 3: Cross multiply
    142,470x = 211,509 × 211,509
  4. Step 4: Simplify right side
    142,470x = 44,736,057,081
  5. Step 5: Solve for x
    x = 44,736,057,081/142,470
  6. Step 6: Final answer
    x = 314,003.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.