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Finding the Third Proportional to 163,600 and 357,920

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Solution

The third proportional to 163,600 and 357,920 is: 783,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,600 : 357,920 = 357,920 : x
  2. Step 2: Convert to fraction form
    163,600/357,920 = 357,920/x
  3. Step 3: Cross multiply
    163,600x = 357,920 × 357,920
  4. Step 4: Simplify right side
    163,600x = 128,106,726,400
  5. Step 5: Solve for x
    x = 128,106,726,400/163,600
  6. Step 6: Final answer
    x = 783,048.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.