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Finding the Third Proportional to 409,560 and 611,184

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Solution

The third proportional to 409,560 and 611,184 is: 912,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,560 : 611,184 = 611,184 : x
  2. Step 2: Convert to fraction form
    409,560/611,184 = 611,184/x
  3. Step 3: Cross multiply
    409,560x = 611,184 × 611,184
  4. Step 4: Simplify right side
    409,560x = 373,545,881,856
  5. Step 5: Solve for x
    x = 373,545,881,856/409,560
  6. Step 6: Final answer
    x = 912,066.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.