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Finding the Third Proportional to 219,529.50 and 478,842

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Solution

The third proportional to 219,529.50 and 478,842 is: 1,044,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,529.50 : 478,842 = 478,842 : x
  2. Step 2: Convert to fraction form
    219,529.50/478,842 = 478,842/x
  3. Step 3: Cross multiply
    219,529.50x = 478,842 × 478,842
  4. Step 4: Simplify right side
    219,529.50x = 229,289,660,964
  5. Step 5: Solve for x
    x = 229,289,660,964/219,529.50
  6. Step 6: Final answer
    x = 1,044,459.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.