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Finding the Third Proportional to 499,890 and 714,339

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Solution

The third proportional to 499,890 and 714,339 is: 1,020,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,890 : 714,339 = 714,339 : x
  2. Step 2: Convert to fraction form
    499,890/714,339 = 714,339/x
  3. Step 3: Cross multiply
    499,890x = 714,339 × 714,339
  4. Step 4: Simplify right side
    499,890x = 510,280,206,921
  5. Step 5: Solve for x
    x = 510,280,206,921/499,890
  6. Step 6: Final answer
    x = 1,020,784.99

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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.