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Finding the Third Proportional to 508,934 and 788,430

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Solution

The third proportional to 508,934 and 788,430 is: 1,221,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,934 : 788,430 = 788,430 : x
  2. Step 2: Convert to fraction form
    508,934/788,430 = 788,430/x
  3. Step 3: Cross multiply
    508,934x = 788,430 × 788,430
  4. Step 4: Simplify right side
    508,934x = 621,621,864,900
  5. Step 5: Solve for x
    x = 621,621,864,900/508,934
  6. Step 6: Final answer
    x = 1,221,419.41

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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.