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Finding the Third Proportional to 476,780.50 and 720,031

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Solution

The third proportional to 476,780.50 and 720,031 is: 1,087,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,780.50 : 720,031 = 720,031 : x
  2. Step 2: Convert to fraction form
    476,780.50/720,031 = 720,031/x
  3. Step 3: Cross multiply
    476,780.50x = 720,031 × 720,031
  4. Step 4: Simplify right side
    476,780.50x = 518,444,640,961
  5. Step 5: Solve for x
    x = 518,444,640,961/476,780.50
  6. Step 6: Final answer
    x = 1,087,386.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.