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Finding the Third Proportional to 432,426 and 943,586

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Solution

The third proportional to 432,426 and 943,586 is: 2,058,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,426 : 943,586 = 943,586 : x
  2. Step 2: Convert to fraction form
    432,426/943,586 = 943,586/x
  3. Step 3: Cross multiply
    432,426x = 943,586 × 943,586
  4. Step 4: Simplify right side
    432,426x = 890,354,539,396
  5. Step 5: Solve for x
    x = 890,354,539,396/432,426
  6. Step 6: Final answer
    x = 2,058,975.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.