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Finding the Third Proportional to 522,584 and 763,710

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Solution

The third proportional to 522,584 and 763,710 is: 1,116,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,584 : 763,710 = 763,710 : x
  2. Step 2: Convert to fraction form
    522,584/763,710 = 763,710/x
  3. Step 3: Cross multiply
    522,584x = 763,710 × 763,710
  4. Step 4: Simplify right side
    522,584x = 583,252,964,100
  5. Step 5: Solve for x
    x = 583,252,964,100/522,584
  6. Step 6: Final answer
    x = 1,116,094.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.