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Finding the Third Proportional to 285,314 and 435,585

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Solution

The third proportional to 285,314 and 435,585 is: 665,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,314 : 435,585 = 435,585 : x
  2. Step 2: Convert to fraction form
    285,314/435,585 = 435,585/x
  3. Step 3: Cross multiply
    285,314x = 435,585 × 435,585
  4. Step 4: Simplify right side
    285,314x = 189,734,292,225
  5. Step 5: Solve for x
    x = 189,734,292,225/285,314
  6. Step 6: Final answer
    x = 665,001.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.