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Finding the Third Proportional to 432,157.13 and 634,221

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Solution

The third proportional to 432,157.13 and 634,221 is: 930,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,157.13 : 634,221 = 634,221 : x
  2. Step 2: Convert to fraction form
    432,157.13/634,221 = 634,221/x
  3. Step 3: Cross multiply
    432,157.13x = 634,221 × 634,221
  4. Step 4: Simplify right side
    432,157.13x = 402,236,276,841
  5. Step 5: Solve for x
    x = 402,236,276,841/432,157.13
  6. Step 6: Final answer
    x = 930,763.96

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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.