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Finding the Third Proportional to 458,388 and 688,444

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Solution

The third proportional to 458,388 and 688,444 is: 1,033,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,388 : 688,444 = 688,444 : x
  2. Step 2: Convert to fraction form
    458,388/688,444 = 688,444/x
  3. Step 3: Cross multiply
    458,388x = 688,444 × 688,444
  4. Step 4: Simplify right side
    458,388x = 473,955,141,136
  5. Step 5: Solve for x
    x = 473,955,141,136/458,388
  6. Step 6: Final answer
    x = 1,033,960.62

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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.