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Finding the Third Proportional to 407,248 and 842,432

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Solution

The third proportional to 407,248 and 842,432 is: 1,742,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,248 : 842,432 = 842,432 : x
  2. Step 2: Convert to fraction form
    407,248/842,432 = 842,432/x
  3. Step 3: Cross multiply
    407,248x = 842,432 × 842,432
  4. Step 4: Simplify right side
    407,248x = 709,691,674,624
  5. Step 5: Solve for x
    x = 709,691,674,624/407,248
  6. Step 6: Final answer
    x = 1,742,652.33

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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.