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Finding the Third Proportional to 458,424 and 688,502

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Solution

The third proportional to 458,424 and 688,502 is: 1,034,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,424 : 688,502 = 688,502 : x
  2. Step 2: Convert to fraction form
    458,424/688,502 = 688,502/x
  3. Step 3: Cross multiply
    458,424x = 688,502 × 688,502
  4. Step 4: Simplify right side
    458,424x = 474,035,004,004
  5. Step 5: Solve for x
    x = 474,035,004,004/458,424
  6. Step 6: Final answer
    x = 1,034,053.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.