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Finding the Third Proportional to 362,020 and 780,200

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Solution

The third proportional to 362,020 and 780,200 is: 1,681,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,020 : 780,200 = 780,200 : x
  2. Step 2: Convert to fraction form
    362,020/780,200 = 780,200/x
  3. Step 3: Cross multiply
    362,020x = 780,200 × 780,200
  4. Step 4: Simplify right side
    362,020x = 608,712,040,000
  5. Step 5: Solve for x
    x = 608,712,040,000/362,020
  6. Step 6: Final answer
    x = 1,681,432.08

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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.