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Finding the Third Proportional to 357,218 and 486,470

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Solution

The third proportional to 357,218 and 486,470 is: 662,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,218 : 486,470 = 486,470 : x
  2. Step 2: Convert to fraction form
    357,218/486,470 = 486,470/x
  3. Step 3: Cross multiply
    357,218x = 486,470 × 486,470
  4. Step 4: Simplify right side
    357,218x = 236,653,060,900
  5. Step 5: Solve for x
    x = 236,653,060,900/357,218
  6. Step 6: Final answer
    x = 662,489.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.