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Finding the Third Proportional to 331,312 and 524,840

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Solution

The third proportional to 331,312 and 524,840 is: 831,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,312 : 524,840 = 524,840 : x
  2. Step 2: Convert to fraction form
    331,312/524,840 = 524,840/x
  3. Step 3: Cross multiply
    331,312x = 524,840 × 524,840
  4. Step 4: Simplify right side
    331,312x = 275,457,025,600
  5. Step 5: Solve for x
    x = 275,457,025,600/331,312
  6. Step 6: Final answer
    x = 831,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.