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Finding the Third Proportional to 77,748 and 163,329

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Solution

The third proportional to 77,748 and 163,329 is: 343,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,748 : 163,329 = 163,329 : x
  2. Step 2: Convert to fraction form
    77,748/163,329 = 163,329/x
  3. Step 3: Cross multiply
    77,748x = 163,329 × 163,329
  4. Step 4: Simplify right side
    77,748x = 26,676,362,241
  5. Step 5: Solve for x
    x = 26,676,362,241/77,748
  6. Step 6: Final answer
    x = 343,113.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.