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Finding the Third Proportional to 432,219.25 and 634,315.75

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Solution

The third proportional to 432,219.25 and 634,315.75 is: 930,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,219.25 : 634,315.75 = 634,315.75 : x
  2. Step 2: Convert to fraction form
    432,219.25/634,315.75 = 634,315.75/x
  3. Step 3: Cross multiply
    432,219.25x = 634,315.75 × 634,315.75
  4. Step 4: Simplify right side
    432,219.25x = 402,356,470,698.06
  5. Step 5: Solve for x
    x = 402,356,470,698.06/432,219.25
  6. Step 6: Final answer
    x = 930,908.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.