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Finding the Third Proportional to 508,701 and 787,319

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Solution

The third proportional to 508,701 and 787,319 is: 1,218,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,701 : 787,319 = 787,319 : x
  2. Step 2: Convert to fraction form
    508,701/787,319 = 787,319/x
  3. Step 3: Cross multiply
    508,701x = 787,319 × 787,319
  4. Step 4: Simplify right side
    508,701x = 619,871,207,761
  5. Step 5: Solve for x
    x = 619,871,207,761/508,701
  6. Step 6: Final answer
    x = 1,218,537.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.