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Finding the Third Proportional to 545,122 and 812,355

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Solution

The third proportional to 545,122 and 812,355 is: 1,210,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,122 : 812,355 = 812,355 : x
  2. Step 2: Convert to fraction form
    545,122/812,355 = 812,355/x
  3. Step 3: Cross multiply
    545,122x = 812,355 × 812,355
  4. Step 4: Simplify right side
    545,122x = 659,920,646,025
  5. Step 5: Solve for x
    x = 659,920,646,025/545,122
  6. Step 6: Final answer
    x = 1,210,592.58

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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.