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Finding the Third Proportional to 515,178 and 749,376

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Solution

The third proportional to 515,178 and 749,376 is: 1,090,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,178 : 749,376 = 749,376 : x
  2. Step 2: Convert to fraction form
    515,178/749,376 = 749,376/x
  3. Step 3: Cross multiply
    515,178x = 749,376 × 749,376
  4. Step 4: Simplify right side
    515,178x = 561,564,389,376
  5. Step 5: Solve for x
    x = 561,564,389,376/515,178
  6. Step 6: Final answer
    x = 1,090,039.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.