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Finding the Third Proportional to 354,730 and 561,606

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Solution

The third proportional to 354,730 and 561,606 is: 889,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,730 : 561,606 = 561,606 : x
  2. Step 2: Convert to fraction form
    354,730/561,606 = 561,606/x
  3. Step 3: Cross multiply
    354,730x = 561,606 × 561,606
  4. Step 4: Simplify right side
    354,730x = 315,401,299,236
  5. Step 5: Solve for x
    x = 315,401,299,236/354,730
  6. Step 6: Final answer
    x = 889,130.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.