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Finding the Third Proportional to 319,458.94 and 688,717.69

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Solution

The third proportional to 319,458.94 and 688,717.69 is: 1,484,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,458.94 : 688,717.69 = 688,717.69 : x
  2. Step 2: Convert to fraction form
    319,458.94/688,717.69 = 688,717.69/x
  3. Step 3: Cross multiply
    319,458.94x = 688,717.69 × 688,717.69
  4. Step 4: Simplify right side
    319,458.94x = 474,332,053,075.35
  5. Step 5: Solve for x
    x = 474,332,053,075.35/319,458.94
  6. Step 6: Final answer
    x = 1,484,798.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.