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Finding the Third Proportional to 666,984 and 1,438,944

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Solution

The third proportional to 666,984 and 1,438,944 is: 3,104,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,984 : 1,438,944 = 1,438,944 : x
  2. Step 2: Convert to fraction form
    666,984/1,438,944 = 1,438,944/x
  3. Step 3: Cross multiply
    666,984x = 1,438,944 × 1,438,944
  4. Step 4: Simplify right side
    666,984x = 2,070,559,835,136
  5. Step 5: Solve for x
    x = 2,070,559,835,136/666,984
  6. Step 6: Final answer
    x = 3,104,362.08

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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.