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Finding the Third Proportional to 365,547 and 545,278

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Solution

The third proportional to 365,547 and 545,278 is: 813,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,547 : 545,278 = 545,278 : x
  2. Step 2: Convert to fraction form
    365,547/545,278 = 545,278/x
  3. Step 3: Cross multiply
    365,547x = 545,278 × 545,278
  4. Step 4: Simplify right side
    365,547x = 297,328,097,284
  5. Step 5: Solve for x
    x = 297,328,097,284/365,547
  6. Step 6: Final answer
    x = 813,378.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.