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Finding the Third Proportional to 239,532 and 508,278

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Solution

The third proportional to 239,532 and 508,278 is: 1,078,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,532 : 508,278 = 508,278 : x
  2. Step 2: Convert to fraction form
    239,532/508,278 = 508,278/x
  3. Step 3: Cross multiply
    239,532x = 508,278 × 508,278
  4. Step 4: Simplify right side
    239,532x = 258,346,525,284
  5. Step 5: Solve for x
    x = 258,346,525,284/239,532
  6. Step 6: Final answer
    x = 1,078,547.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.