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Finding the Third Proportional to 145,449 and 223,488

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Solution

The third proportional to 145,449 and 223,488 is: 343,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,449 : 223,488 = 223,488 : x
  2. Step 2: Convert to fraction form
    145,449/223,488 = 223,488/x
  3. Step 3: Cross multiply
    145,449x = 223,488 × 223,488
  4. Step 4: Simplify right side
    145,449x = 49,946,886,144
  5. Step 5: Solve for x
    x = 49,946,886,144/145,449
  6. Step 6: Final answer
    x = 343,397.93

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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.