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Finding the Third Proportional to 302,220 and 423,648

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Solution

The third proportional to 302,220 and 423,648 is: 593,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,220 : 423,648 = 423,648 : x
  2. Step 2: Convert to fraction form
    302,220/423,648 = 423,648/x
  3. Step 3: Cross multiply
    302,220x = 423,648 × 423,648
  4. Step 4: Simplify right side
    302,220x = 179,477,627,904
  5. Step 5: Solve for x
    x = 179,477,627,904/302,220
  6. Step 6: Final answer
    x = 593,864.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.