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Finding the Third Proportional to 316,770 and 689,308

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Solution

The third proportional to 316,770 and 689,308 is: 1,499,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,770 : 689,308 = 689,308 : x
  2. Step 2: Convert to fraction form
    316,770/689,308 = 689,308/x
  3. Step 3: Cross multiply
    316,770x = 689,308 × 689,308
  4. Step 4: Simplify right side
    316,770x = 475,145,518,864
  5. Step 5: Solve for x
    x = 475,145,518,864/316,770
  6. Step 6: Final answer
    x = 1,499,970.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.