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Finding the Third Proportional to 1,577,300 and 3,420,334

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Solution

The third proportional to 1,577,300 and 3,420,334 is: 7,416,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,300 : 3,420,334 = 3,420,334 : x
  2. Step 2: Convert to fraction form
    1,577,300/3,420,334 = 3,420,334/x
  3. Step 3: Cross multiply
    1,577,300x = 3,420,334 × 3,420,334
  4. Step 4: Simplify right side
    1,577,300x = 11,698,684,671,556
  5. Step 5: Solve for x
    x = 11,698,684,671,556/1,577,300
  6. Step 6: Final answer
    x = 7,416,905.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.