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Finding the Third Proportional to 309,700 and 670,088

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Solution

The third proportional to 309,700 and 670,088 is: 1,449,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,700 : 670,088 = 670,088 : x
  2. Step 2: Convert to fraction form
    309,700/670,088 = 670,088/x
  3. Step 3: Cross multiply
    309,700x = 670,088 × 670,088
  4. Step 4: Simplify right side
    309,700x = 449,017,927,744
  5. Step 5: Solve for x
    x = 449,017,927,744/309,700
  6. Step 6: Final answer
    x = 1,449,848.01

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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.