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Finding the Third Proportional to 508,940 and 788,440

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Solution

The third proportional to 508,940 and 788,440 is: 1,221,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,940 : 788,440 = 788,440 : x
  2. Step 2: Convert to fraction form
    508,940/788,440 = 788,440/x
  3. Step 3: Cross multiply
    508,940x = 788,440 × 788,440
  4. Step 4: Simplify right side
    508,940x = 621,637,633,600
  5. Step 5: Solve for x
    x = 621,637,633,600/508,940
  6. Step 6: Final answer
    x = 1,221,435.99

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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.