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Finding the Third Proportional to 508,630 and 769,506

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Solution

The third proportional to 508,630 and 769,506 is: 1,164,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,630 : 769,506 = 769,506 : x
  2. Step 2: Convert to fraction form
    508,630/769,506 = 769,506/x
  3. Step 3: Cross multiply
    508,630x = 769,506 × 769,506
  4. Step 4: Simplify right side
    508,630x = 592,139,484,036
  5. Step 5: Solve for x
    x = 592,139,484,036/508,630
  6. Step 6: Final answer
    x = 1,164,185.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.