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Finding the Third Proportional to 478,032 and 720,750

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Solution

The third proportional to 478,032 and 720,750 is: 1,086,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,032 : 720,750 = 720,750 : x
  2. Step 2: Convert to fraction form
    478,032/720,750 = 720,750/x
  3. Step 3: Cross multiply
    478,032x = 720,750 × 720,750
  4. Step 4: Simplify right side
    478,032x = 519,480,562,500
  5. Step 5: Solve for x
    x = 519,480,562,500/478,032
  6. Step 6: Final answer
    x = 1,086,706.67

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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.