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Finding the Third Proportional to 289,720 and 465,360

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Solution

The third proportional to 289,720 and 465,360 is: 747,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,720 : 465,360 = 465,360 : x
  2. Step 2: Convert to fraction form
    289,720/465,360 = 465,360/x
  3. Step 3: Cross multiply
    289,720x = 465,360 × 465,360
  4. Step 4: Simplify right side
    289,720x = 216,559,929,600
  5. Step 5: Solve for x
    x = 216,559,929,600/289,720
  6. Step 6: Final answer
    x = 747,480.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.