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Finding the Third Proportional to 310,574 and 665,436.50

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Solution

The third proportional to 310,574 and 665,436.50 is: 1,425,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,574 : 665,436.50 = 665,436.50 : x
  2. Step 2: Convert to fraction form
    310,574/665,436.50 = 665,436.50/x
  3. Step 3: Cross multiply
    310,574x = 665,436.50 × 665,436.50
  4. Step 4: Simplify right side
    310,574x = 442,805,735,532.25
  5. Step 5: Solve for x
    x = 442,805,735,532.25/310,574
  6. Step 6: Final answer
    x = 1,425,765.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.