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Finding the Third Proportional to 319,754 and 469,263

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Solution

The third proportional to 319,754 and 469,263 is: 688,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,754 : 469,263 = 469,263 : x
  2. Step 2: Convert to fraction form
    319,754/469,263 = 469,263/x
  3. Step 3: Cross multiply
    319,754x = 469,263 × 469,263
  4. Step 4: Simplify right side
    319,754x = 220,207,763,169
  5. Step 5: Solve for x
    x = 220,207,763,169/319,754
  6. Step 6: Final answer
    x = 688,678.68

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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.