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Finding the Third Proportional to 432,616 and 578,684

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Solution

The third proportional to 432,616 and 578,684 is: 774,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,616 : 578,684 = 578,684 : x
  2. Step 2: Convert to fraction form
    432,616/578,684 = 578,684/x
  3. Step 3: Cross multiply
    432,616x = 578,684 × 578,684
  4. Step 4: Simplify right side
    432,616x = 334,875,171,856
  5. Step 5: Solve for x
    x = 334,875,171,856/432,616
  6. Step 6: Final answer
    x = 774,070.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.