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Finding the Third Proportional to 291,312 and 393,584

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Solution

The third proportional to 291,312 and 393,584 is: 531,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,312 : 393,584 = 393,584 : x
  2. Step 2: Convert to fraction form
    291,312/393,584 = 393,584/x
  3. Step 3: Cross multiply
    291,312x = 393,584 × 393,584
  4. Step 4: Simplify right side
    291,312x = 154,908,365,056
  5. Step 5: Solve for x
    x = 154,908,365,056/291,312
  6. Step 6: Final answer
    x = 531,761.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.