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Finding the Third Proportional to 357,184 and 540,368

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Solution

The third proportional to 357,184 and 540,368 is: 817,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,184 : 540,368 = 540,368 : x
  2. Step 2: Convert to fraction form
    357,184/540,368 = 540,368/x
  3. Step 3: Cross multiply
    357,184x = 540,368 × 540,368
  4. Step 4: Simplify right side
    357,184x = 291,997,575,424
  5. Step 5: Solve for x
    x = 291,997,575,424/357,184
  6. Step 6: Final answer
    x = 817,499.04

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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.