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Finding the Third Proportional to 357,673 and 540,154

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Solution

The third proportional to 357,673 and 540,154 is: 815,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,673 : 540,154 = 540,154 : x
  2. Step 2: Convert to fraction form
    357,673/540,154 = 540,154/x
  3. Step 3: Cross multiply
    357,673x = 540,154 × 540,154
  4. Step 4: Simplify right side
    357,673x = 291,766,343,716
  5. Step 5: Solve for x
    x = 291,766,343,716/357,673
  6. Step 6: Final answer
    x = 815,734.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.