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Finding the Third Proportional to 289,374 and 634,774

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Solution

The third proportional to 289,374 and 634,774 is: 1,392,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,374 : 634,774 = 634,774 : x
  2. Step 2: Convert to fraction form
    289,374/634,774 = 634,774/x
  3. Step 3: Cross multiply
    289,374x = 634,774 × 634,774
  4. Step 4: Simplify right side
    289,374x = 402,938,031,076
  5. Step 5: Solve for x
    x = 402,938,031,076/289,374
  6. Step 6: Final answer
    x = 1,392,447.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.