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Finding the Third Proportional to 183,210 and 390,420

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Solution

The third proportional to 183,210 and 390,420 is: 831,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,210 : 390,420 = 390,420 : x
  2. Step 2: Convert to fraction form
    183,210/390,420 = 390,420/x
  3. Step 3: Cross multiply
    183,210x = 390,420 × 390,420
  4. Step 4: Simplify right side
    183,210x = 152,427,776,400
  5. Step 5: Solve for x
    x = 152,427,776,400/183,210
  6. Step 6: Final answer
    x = 831,983.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.