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Finding the Third Proportional to 499,783 and 712,290

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Solution

The third proportional to 499,783 and 712,290 is: 1,015,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,783 : 712,290 = 712,290 : x
  2. Step 2: Convert to fraction form
    499,783/712,290 = 712,290/x
  3. Step 3: Cross multiply
    499,783x = 712,290 × 712,290
  4. Step 4: Simplify right side
    499,783x = 507,357,044,100
  5. Step 5: Solve for x
    x = 507,357,044,100/499,783
  6. Step 6: Final answer
    x = 1,015,154.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.