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Finding the Third Proportional to 510,478 and 713,629

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Solution

The third proportional to 510,478 and 713,629 is: 997,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,478 : 713,629 = 713,629 : x
  2. Step 2: Convert to fraction form
    510,478/713,629 = 713,629/x
  3. Step 3: Cross multiply
    510,478x = 713,629 × 713,629
  4. Step 4: Simplify right side
    510,478x = 509,266,349,641
  5. Step 5: Solve for x
    x = 509,266,349,641/510,478
  6. Step 6: Final answer
    x = 997,626.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.