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Finding the Third Proportional to 357,126 and 540,297

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Solution

The third proportional to 357,126 and 540,297 is: 817,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,126 : 540,297 = 540,297 : x
  2. Step 2: Convert to fraction form
    357,126/540,297 = 540,297/x
  3. Step 3: Cross multiply
    357,126x = 540,297 × 540,297
  4. Step 4: Simplify right side
    357,126x = 291,920,848,209
  5. Step 5: Solve for x
    x = 291,920,848,209/357,126
  6. Step 6: Final answer
    x = 817,416.96

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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.