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Finding the Third Proportional to 512,599 and 776,553

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Solution

The third proportional to 512,599 and 776,553 is: 1,176,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,599 : 776,553 = 776,553 : x
  2. Step 2: Convert to fraction form
    512,599/776,553 = 776,553/x
  3. Step 3: Cross multiply
    512,599x = 776,553 × 776,553
  4. Step 4: Simplify right side
    512,599x = 603,034,561,809
  5. Step 5: Solve for x
    x = 603,034,561,809/512,599
  6. Step 6: Final answer
    x = 1,176,425.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.