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Finding the Third Proportional to 357,288 and 772,896

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Solution

The third proportional to 357,288 and 772,896 is: 1,671,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,288 : 772,896 = 772,896 : x
  2. Step 2: Convert to fraction form
    357,288/772,896 = 772,896/x
  3. Step 3: Cross multiply
    357,288x = 772,896 × 772,896
  4. Step 4: Simplify right side
    357,288x = 597,368,226,816
  5. Step 5: Solve for x
    x = 597,368,226,816/357,288
  6. Step 6: Final answer
    x = 1,671,951.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.