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Finding the Third Proportional to 157,540 and 328,364

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Solution

The third proportional to 157,540 and 328,364 is: 684,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,540 : 328,364 = 328,364 : x
  2. Step 2: Convert to fraction form
    157,540/328,364 = 328,364/x
  3. Step 3: Cross multiply
    157,540x = 328,364 × 328,364
  4. Step 4: Simplify right side
    157,540x = 107,822,916,496
  5. Step 5: Solve for x
    x = 107,822,916,496/157,540
  6. Step 6: Final answer
    x = 684,416.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.