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Finding the Third Proportional to 432,213 and 634,307

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Solution

The third proportional to 432,213 and 634,307 is: 930,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,213 : 634,307 = 634,307 : x
  2. Step 2: Convert to fraction form
    432,213/634,307 = 634,307/x
  3. Step 3: Cross multiply
    432,213x = 634,307 × 634,307
  4. Step 4: Simplify right side
    432,213x = 402,345,370,249
  5. Step 5: Solve for x
    x = 402,345,370,249/432,213
  6. Step 6: Final answer
    x = 930,896.04

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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.