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Finding the Third Proportional to 369,678 and 756,842

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Solution

The third proportional to 369,678 and 756,842 is: 1,549,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,678 : 756,842 = 756,842 : x
  2. Step 2: Convert to fraction form
    369,678/756,842 = 756,842/x
  3. Step 3: Cross multiply
    369,678x = 756,842 × 756,842
  4. Step 4: Simplify right side
    369,678x = 572,809,812,964
  5. Step 5: Solve for x
    x = 572,809,812,964/369,678
  6. Step 6: Final answer
    x = 1,549,483.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.