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Finding the Third Proportional to 357,903 and 778,785

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Solution

The third proportional to 357,903 and 778,785 is: 1,694,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,903 : 778,785 = 778,785 : x
  2. Step 2: Convert to fraction form
    357,903/778,785 = 778,785/x
  3. Step 3: Cross multiply
    357,903x = 778,785 × 778,785
  4. Step 4: Simplify right side
    357,903x = 606,506,076,225
  5. Step 5: Solve for x
    x = 606,506,076,225/357,903
  6. Step 6: Final answer
    x = 1,694,610.21

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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.