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Finding the Third Proportional to 425,258 and 577,791

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Solution

The third proportional to 425,258 and 577,791 is: 785,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,258 : 577,791 = 577,791 : x
  2. Step 2: Convert to fraction form
    425,258/577,791 = 577,791/x
  3. Step 3: Cross multiply
    425,258x = 577,791 × 577,791
  4. Step 4: Simplify right side
    425,258x = 333,842,439,681
  5. Step 5: Solve for x
    x = 333,842,439,681/425,258
  6. Step 6: Final answer
    x = 785,035.06

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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.