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Finding the Third Proportional to 631,623 and 1,381,347

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Solution

The third proportional to 631,623 and 1,381,347 is: 3,020,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,623 : 1,381,347 = 1,381,347 : x
  2. Step 2: Convert to fraction form
    631,623/1,381,347 = 1,381,347/x
  3. Step 3: Cross multiply
    631,623x = 1,381,347 × 1,381,347
  4. Step 4: Simplify right side
    631,623x = 1,908,119,534,409
  5. Step 5: Solve for x
    x = 1,908,119,534,409/631,623
  6. Step 6: Final answer
    x = 3,020,978.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.