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Finding the Third Proportional to 630,447 and 1,368,057

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Solution

The third proportional to 630,447 and 1,368,057 is: 2,968,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,447 : 1,368,057 = 1,368,057 : x
  2. Step 2: Convert to fraction form
    630,447/1,368,057 = 1,368,057/x
  3. Step 3: Cross multiply
    630,447x = 1,368,057 × 1,368,057
  4. Step 4: Simplify right side
    630,447x = 1,871,579,955,249
  5. Step 5: Solve for x
    x = 1,871,579,955,249/630,447
  6. Step 6: Final answer
    x = 2,968,655.50

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Why These Related Problems?

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