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Finding the Third Proportional to 425,266 and 577,803

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Solution

The third proportional to 425,266 and 577,803 is: 785,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,266 : 577,803 = 577,803 : x
  2. Step 2: Convert to fraction form
    425,266/577,803 = 577,803/x
  3. Step 3: Cross multiply
    425,266x = 577,803 × 577,803
  4. Step 4: Simplify right side
    425,266x = 333,856,306,809
  5. Step 5: Solve for x
    x = 333,856,306,809/425,266
  6. Step 6: Final answer
    x = 785,052.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.