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Finding the Third Proportional to 163,132 and 241,666

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Solution

The third proportional to 163,132 and 241,666 is: 358,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,132 : 241,666 = 241,666 : x
  2. Step 2: Convert to fraction form
    163,132/241,666 = 241,666/x
  3. Step 3: Cross multiply
    163,132x = 241,666 × 241,666
  4. Step 4: Simplify right side
    163,132x = 58,402,455,556
  5. Step 5: Solve for x
    x = 58,402,455,556/163,132
  6. Step 6: Final answer
    x = 358,007.35

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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.