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Finding the Third Proportional to 445,421 and 717,157

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Solution

The third proportional to 445,421 and 717,157 is: 1,154,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,421 : 717,157 = 717,157 : x
  2. Step 2: Convert to fraction form
    445,421/717,157 = 717,157/x
  3. Step 3: Cross multiply
    445,421x = 717,157 × 717,157
  4. Step 4: Simplify right side
    445,421x = 514,314,162,649
  5. Step 5: Solve for x
    x = 514,314,162,649/445,421
  6. Step 6: Final answer
    x = 1,154,669.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.