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Finding the Third Proportional to 430,836 and 715,556

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Solution

The third proportional to 430,836 and 715,556 is: 1,188,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,836 : 715,556 = 715,556 : x
  2. Step 2: Convert to fraction form
    430,836/715,556 = 715,556/x
  3. Step 3: Cross multiply
    430,836x = 715,556 × 715,556
  4. Step 4: Simplify right side
    430,836x = 512,020,389,136
  5. Step 5: Solve for x
    x = 512,020,389,136/430,836
  6. Step 6: Final answer
    x = 1,188,434.55

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.