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Finding the Third Proportional to 319,507 and 683,897

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Solution

The third proportional to 319,507 and 683,897 is: 1,463,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,507 : 683,897 = 683,897 : x
  2. Step 2: Convert to fraction form
    319,507/683,897 = 683,897/x
  3. Step 3: Cross multiply
    319,507x = 683,897 × 683,897
  4. Step 4: Simplify right side
    319,507x = 467,715,106,609
  5. Step 5: Solve for x
    x = 467,715,106,609/319,507
  6. Step 6: Final answer
    x = 1,463,864.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.