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Finding the Third Proportional to 319,702 and 469,185

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Solution

The third proportional to 319,702 and 469,185 is: 688,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,702 : 469,185 = 469,185 : x
  2. Step 2: Convert to fraction form
    319,702/469,185 = 469,185/x
  3. Step 3: Cross multiply
    319,702x = 469,185 × 469,185
  4. Step 4: Simplify right side
    319,702x = 220,134,564,225
  5. Step 5: Solve for x
    x = 220,134,564,225/319,702
  6. Step 6: Final answer
    x = 688,561.74

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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.