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Finding the Third Proportional to 357,637 and 540,100

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Solution

The third proportional to 357,637 and 540,100 is: 815,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,637 : 540,100 = 540,100 : x
  2. Step 2: Convert to fraction form
    357,637/540,100 = 540,100/x
  3. Step 3: Cross multiply
    357,637x = 540,100 × 540,100
  4. Step 4: Simplify right side
    357,637x = 291,708,010,000
  5. Step 5: Solve for x
    x = 291,708,010,000/357,637
  6. Step 6: Final answer
    x = 815,653.89

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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.