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Finding the Third Proportional to 508,417 and 697,152

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Solution

The third proportional to 508,417 and 697,152 is: 955,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,417 : 697,152 = 697,152 : x
  2. Step 2: Convert to fraction form
    508,417/697,152 = 697,152/x
  3. Step 3: Cross multiply
    508,417x = 697,152 × 697,152
  4. Step 4: Simplify right side
    508,417x = 486,020,911,104
  5. Step 5: Solve for x
    x = 486,020,911,104/508,417
  6. Step 6: Final answer
    x = 955,949.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.