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Finding the Third Proportional to 278,784 and 572,352

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Solution

The third proportional to 278,784 and 572,352 is: 1,175,056

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,784 : 572,352 = 572,352 : x
  2. Step 2: Convert to fraction form
    278,784/572,352 = 572,352/x
  3. Step 3: Cross multiply
    278,784x = 572,352 × 572,352
  4. Step 4: Simplify right side
    278,784x = 327,586,811,904
  5. Step 5: Solve for x
    x = 327,586,811,904/278,784
  6. Step 6: Final answer
    x = 1,175,056

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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.