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Finding the Third Proportional to 163,664 and 356,490

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Solution

The third proportional to 163,664 and 356,490 is: 776,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,664 : 356,490 = 356,490 : x
  2. Step 2: Convert to fraction form
    163,664/356,490 = 356,490/x
  3. Step 3: Cross multiply
    163,664x = 356,490 × 356,490
  4. Step 4: Simplify right side
    163,664x = 127,085,120,100
  5. Step 5: Solve for x
    x = 127,085,120,100/163,664
  6. Step 6: Final answer
    x = 776,500.15

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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.