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Finding the Third Proportional to 499,816 and 712,328

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Solution

The third proportional to 499,816 and 712,328 is: 1,015,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,816 : 712,328 = 712,328 : x
  2. Step 2: Convert to fraction form
    499,816/712,328 = 712,328/x
  3. Step 3: Cross multiply
    499,816x = 712,328 × 712,328
  4. Step 4: Simplify right side
    499,816x = 507,411,179,584
  5. Step 5: Solve for x
    x = 507,411,179,584/499,816
  6. Step 6: Final answer
    x = 1,015,195.95

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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.