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Finding the Third Proportional to 302,064 and 423,423

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Solution

The third proportional to 302,064 and 423,423 is: 593,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,064 : 423,423 = 423,423 : x
  2. Step 2: Convert to fraction form
    302,064/423,423 = 423,423/x
  3. Step 3: Cross multiply
    302,064x = 423,423 × 423,423
  4. Step 4: Simplify right side
    302,064x = 179,287,036,929
  5. Step 5: Solve for x
    x = 179,287,036,929/302,064
  6. Step 6: Final answer
    x = 593,539.90

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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.