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Finding the Third Proportional to 319,312 and 480,300

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Solution

The third proportional to 319,312 and 480,300 is: 722,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,312 : 480,300 = 480,300 : x
  2. Step 2: Convert to fraction form
    319,312/480,300 = 480,300/x
  3. Step 3: Cross multiply
    319,312x = 480,300 × 480,300
  4. Step 4: Simplify right side
    319,312x = 230,688,090,000
  5. Step 5: Solve for x
    x = 230,688,090,000/319,312
  6. Step 6: Final answer
    x = 722,453.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.