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Finding the Third Proportional to 464,517 and 688,140

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Solution

The third proportional to 464,517 and 688,140 is: 1,019,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,517 : 688,140 = 688,140 : x
  2. Step 2: Convert to fraction form
    464,517/688,140 = 688,140/x
  3. Step 3: Cross multiply
    464,517x = 688,140 × 688,140
  4. Step 4: Simplify right side
    464,517x = 473,536,659,600
  5. Step 5: Solve for x
    x = 473,536,659,600/464,517
  6. Step 6: Final answer
    x = 1,019,417.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.