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Finding the Third Proportional to 407,232 and 842,400

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Solution

The third proportional to 407,232 and 842,400 is: 1,742,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,232 : 842,400 = 842,400 : x
  2. Step 2: Convert to fraction form
    407,232/842,400 = 842,400/x
  3. Step 3: Cross multiply
    407,232x = 842,400 × 842,400
  4. Step 4: Simplify right side
    407,232x = 709,637,760,000
  5. Step 5: Solve for x
    x = 709,637,760,000/407,232
  6. Step 6: Final answer
    x = 1,742,588.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.