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Finding the Third Proportional to 280,000 and 604,928

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Solution

The third proportional to 280,000 and 604,928 is: 1,306,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,000 : 604,928 = 604,928 : x
  2. Step 2: Convert to fraction form
    280,000/604,928 = 604,928/x
  3. Step 3: Cross multiply
    280,000x = 604,928 × 604,928
  4. Step 4: Simplify right side
    280,000x = 365,937,885,184
  5. Step 5: Solve for x
    x = 365,937,885,184/280,000
  6. Step 6: Final answer
    x = 1,306,921.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.