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Finding the Third Proportional to 478,370 and 740,235

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Solution

The third proportional to 478,370 and 740,235 is: 1,145,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,370 : 740,235 = 740,235 : x
  2. Step 2: Convert to fraction form
    478,370/740,235 = 740,235/x
  3. Step 3: Cross multiply
    478,370x = 740,235 × 740,235
  4. Step 4: Simplify right side
    478,370x = 547,947,855,225
  5. Step 5: Solve for x
    x = 547,947,855,225/478,370
  6. Step 6: Final answer
    x = 1,145,447.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.