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Finding the Third Proportional to 298,510.31 and 624,692.25

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Solution

The third proportional to 298,510.31 and 624,692.25 is: 1,307,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,510.31 : 624,692.25 = 624,692.25 : x
  2. Step 2: Convert to fraction form
    298,510.31/624,692.25 = 624,692.25/x
  3. Step 3: Cross multiply
    298,510.31x = 624,692.25 × 624,692.25
  4. Step 4: Simplify right side
    298,510.31x = 390,240,407,210.06
  5. Step 5: Solve for x
    x = 390,240,407,210.06/298,510.31
  6. Step 6: Final answer
    x = 1,307,292.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.