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Finding the Third Proportional to 357,122 and 540,291

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Solution

The third proportional to 357,122 and 540,291 is: 817,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,122 : 540,291 = 540,291 : x
  2. Step 2: Convert to fraction form
    357,122/540,291 = 540,291/x
  3. Step 3: Cross multiply
    357,122x = 540,291 × 540,291
  4. Step 4: Simplify right side
    357,122x = 291,914,364,681
  5. Step 5: Solve for x
    x = 291,914,364,681/357,122
  6. Step 6: Final answer
    x = 817,407.96

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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.