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Finding the Third Proportional to 432,219 and 634,315.50

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Solution

The third proportional to 432,219 and 634,315.50 is: 930,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,219 : 634,315.50 = 634,315.50 : x
  2. Step 2: Convert to fraction form
    432,219/634,315.50 = 634,315.50/x
  3. Step 3: Cross multiply
    432,219x = 634,315.50 × 634,315.50
  4. Step 4: Simplify right side
    432,219x = 402,356,153,540.25
  5. Step 5: Solve for x
    x = 402,356,153,540.25/432,219
  6. Step 6: Final answer
    x = 930,908.07

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