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Finding the Third Proportional to 77,739 and 169,547

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Solution

The third proportional to 77,739 and 169,547 is: 369,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,739 : 169,547 = 169,547 : x
  2. Step 2: Convert to fraction form
    77,739/169,547 = 169,547/x
  3. Step 3: Cross multiply
    77,739x = 169,547 × 169,547
  4. Step 4: Simplify right side
    77,739x = 28,746,185,209
  5. Step 5: Solve for x
    x = 28,746,185,209/77,739
  6. Step 6: Final answer
    x = 369,778.17

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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.