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Finding the Third Proportional to 292,144 and 448,769

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Solution

The third proportional to 292,144 and 448,769 is: 689,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,144 : 448,769 = 448,769 : x
  2. Step 2: Convert to fraction form
    292,144/448,769 = 448,769/x
  3. Step 3: Cross multiply
    292,144x = 448,769 × 448,769
  4. Step 4: Simplify right side
    292,144x = 201,393,615,361
  5. Step 5: Solve for x
    x = 201,393,615,361/292,144
  6. Step 6: Final answer
    x = 689,364.20

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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.