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Finding the Third Proportional to 319,546 and 688,914

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Solution

The third proportional to 319,546 and 688,914 is: 1,485,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,546 : 688,914 = 688,914 : x
  2. Step 2: Convert to fraction form
    319,546/688,914 = 688,914/x
  3. Step 3: Cross multiply
    319,546x = 688,914 × 688,914
  4. Step 4: Simplify right side
    319,546x = 474,602,499,396
  5. Step 5: Solve for x
    x = 474,602,499,396/319,546
  6. Step 6: Final answer
    x = 1,485,239.99

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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.