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Finding the Third Proportional to 272,848 and 643,184

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Solution

The third proportional to 272,848 and 643,184 is: 1,516,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,848 : 643,184 = 643,184 : x
  2. Step 2: Convert to fraction form
    272,848/643,184 = 643,184/x
  3. Step 3: Cross multiply
    272,848x = 643,184 × 643,184
  4. Step 4: Simplify right side
    272,848x = 413,685,657,856
  5. Step 5: Solve for x
    x = 413,685,657,856/272,848
  6. Step 6: Final answer
    x = 1,516,176.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.