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Finding the Third Proportional to 147,657 and 323,915

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Solution

The third proportional to 147,657 and 323,915 is: 710,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,657 : 323,915 = 323,915 : x
  2. Step 2: Convert to fraction form
    147,657/323,915 = 323,915/x
  3. Step 3: Cross multiply
    147,657x = 323,915 × 323,915
  4. Step 4: Simplify right side
    147,657x = 104,920,927,225
  5. Step 5: Solve for x
    x = 104,920,927,225/147,657
  6. Step 6: Final answer
    x = 710,571.98

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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.