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Finding the Third Proportional to 1,580,728.50 and 3,410,289

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Solution

The third proportional to 1,580,728.50 and 3,410,289 is: 7,357,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,728.50 : 3,410,289 = 3,410,289 : x
  2. Step 2: Convert to fraction form
    1,580,728.50/3,410,289 = 3,410,289/x
  3. Step 3: Cross multiply
    1,580,728.50x = 3,410,289 × 3,410,289
  4. Step 4: Simplify right side
    1,580,728.50x = 11,630,071,063,521
  5. Step 5: Solve for x
    x = 11,630,071,063,521/1,580,728.50
  6. Step 6: Final answer
    x = 7,357,412.14

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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.