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Finding the Third Proportional to 330,392 and 525,128

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Solution

The third proportional to 330,392 and 525,128 is: 834,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,392 : 525,128 = 525,128 : x
  2. Step 2: Convert to fraction form
    330,392/525,128 = 525,128/x
  3. Step 3: Cross multiply
    330,392x = 525,128 × 525,128
  4. Step 4: Simplify right side
    330,392x = 275,759,416,384
  5. Step 5: Solve for x
    x = 275,759,416,384/330,392
  6. Step 6: Final answer
    x = 834,643.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.