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Finding the Third Proportional to 223,742 and 345,666

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Solution

The third proportional to 223,742 and 345,666 is: 534,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,742 : 345,666 = 345,666 : x
  2. Step 2: Convert to fraction form
    223,742/345,666 = 345,666/x
  3. Step 3: Cross multiply
    223,742x = 345,666 × 345,666
  4. Step 4: Simplify right side
    223,742x = 119,484,983,556
  5. Step 5: Solve for x
    x = 119,484,983,556/223,742
  6. Step 6: Final answer
    x = 534,030.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.