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Finding the Third Proportional to 307,240 and 626,681

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Solution

The third proportional to 307,240 and 626,681 is: 1,278,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,240 : 626,681 = 626,681 : x
  2. Step 2: Convert to fraction form
    307,240/626,681 = 626,681/x
  3. Step 3: Cross multiply
    307,240x = 626,681 × 626,681
  4. Step 4: Simplify right side
    307,240x = 392,729,075,761
  5. Step 5: Solve for x
    x = 392,729,075,761/307,240
  6. Step 6: Final answer
    x = 1,278,248.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.