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Finding the Third Proportional to 145,806 and 319,044

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Solution

The third proportional to 145,806 and 319,044 is: 698,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,806 : 319,044 = 319,044 : x
  2. Step 2: Convert to fraction form
    145,806/319,044 = 319,044/x
  3. Step 3: Cross multiply
    145,806x = 319,044 × 319,044
  4. Step 4: Simplify right side
    145,806x = 101,789,073,936
  5. Step 5: Solve for x
    x = 101,789,073,936/145,806
  6. Step 6: Final answer
    x = 698,113.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.