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Finding the Third Proportional to 630,560 and 1,342,912

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Solution

The third proportional to 630,560 and 1,342,912 is: 2,860,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,560 : 1,342,912 = 1,342,912 : x
  2. Step 2: Convert to fraction form
    630,560/1,342,912 = 1,342,912/x
  3. Step 3: Cross multiply
    630,560x = 1,342,912 × 1,342,912
  4. Step 4: Simplify right side
    630,560x = 1,803,412,639,744
  5. Step 5: Solve for x
    x = 1,803,412,639,744/630,560
  6. Step 6: Final answer
    x = 2,860,017.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.