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Finding the Third Proportional to 432,588 and 578,651

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Solution

The third proportional to 432,588 and 578,651 is: 774,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,588 : 578,651 = 578,651 : x
  2. Step 2: Convert to fraction form
    432,588/578,651 = 578,651/x
  3. Step 3: Cross multiply
    432,588x = 578,651 × 578,651
  4. Step 4: Simplify right side
    432,588x = 334,836,979,801
  5. Step 5: Solve for x
    x = 334,836,979,801/432,588
  6. Step 6: Final answer
    x = 774,032.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.