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Finding the Third Proportional to 305,699 and 670,386

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Solution

The third proportional to 305,699 and 670,386 is: 1,470,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,699 : 670,386 = 670,386 : x
  2. Step 2: Convert to fraction form
    305,699/670,386 = 670,386/x
  3. Step 3: Cross multiply
    305,699x = 670,386 × 670,386
  4. Step 4: Simplify right side
    305,699x = 449,417,388,996
  5. Step 5: Solve for x
    x = 449,417,388,996/305,699
  6. Step 6: Final answer
    x = 1,470,130.39

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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.