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Finding the Third Proportional to 163,312 and 354,488

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Solution

The third proportional to 163,312 and 354,488 is: 769,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,312 : 354,488 = 354,488 : x
  2. Step 2: Convert to fraction form
    163,312/354,488 = 354,488/x
  3. Step 3: Cross multiply
    163,312x = 354,488 × 354,488
  4. Step 4: Simplify right side
    163,312x = 125,661,742,144
  5. Step 5: Solve for x
    x = 125,661,742,144/163,312
  6. Step 6: Final answer
    x = 769,458.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.