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Finding the Third Proportional to 709,970 and 1,072,347

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Solution

The third proportional to 709,970 and 1,072,347 is: 1,619,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,970 : 1,072,347 = 1,072,347 : x
  2. Step 2: Convert to fraction form
    709,970/1,072,347 = 1,072,347/x
  3. Step 3: Cross multiply
    709,970x = 1,072,347 × 1,072,347
  4. Step 4: Simplify right side
    709,970x = 1,149,928,088,409
  5. Step 5: Solve for x
    x = 1,149,928,088,409/709,970
  6. Step 6: Final answer
    x = 1,619,685.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.