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Finding the Third Proportional to 319,946.36 and 688,665.18

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Solution

The third proportional to 319,946.36 and 688,665.18 is: 1,482,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,946.36 : 688,665.18 = 688,665.18 : x
  2. Step 2: Convert to fraction form
    319,946.36/688,665.18 = 688,665.18/x
  3. Step 3: Cross multiply
    319,946.36x = 688,665.18 × 688,665.18
  4. Step 4: Simplify right side
    319,946.36x = 474,259,729,472.36
  5. Step 5: Solve for x
    x = 474,259,729,472.36/319,946.36
  6. Step 6: Final answer
    x = 1,482,310.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.