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Finding the Third Proportional to 499,746 and 712,239

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Solution

The third proportional to 499,746 and 712,239 is: 1,015,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,746 : 712,239 = 712,239 : x
  2. Step 2: Convert to fraction form
    499,746/712,239 = 712,239/x
  3. Step 3: Cross multiply
    499,746x = 712,239 × 712,239
  4. Step 4: Simplify right side
    499,746x = 507,284,393,121
  5. Step 5: Solve for x
    x = 507,284,393,121/499,746
  6. Step 6: Final answer
    x = 1,015,084.45

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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.