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Finding the Third Proportional to 399,312 and 531,576

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Solution

The third proportional to 399,312 and 531,576 is: 707,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,312 : 531,576 = 531,576 : x
  2. Step 2: Convert to fraction form
    399,312/531,576 = 531,576/x
  3. Step 3: Cross multiply
    399,312x = 531,576 × 531,576
  4. Step 4: Simplify right side
    399,312x = 282,573,043,776
  5. Step 5: Solve for x
    x = 282,573,043,776/399,312
  6. Step 6: Final answer
    x = 707,649.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.