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Finding the Third Proportional to 356,726 and 772,258

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Solution

The third proportional to 356,726 and 772,258 is: 1,671,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,726 : 772,258 = 772,258 : x
  2. Step 2: Convert to fraction form
    356,726/772,258 = 772,258/x
  3. Step 3: Cross multiply
    356,726x = 772,258 × 772,258
  4. Step 4: Simplify right side
    356,726x = 596,382,418,564
  5. Step 5: Solve for x
    x = 596,382,418,564/356,726
  6. Step 6: Final answer
    x = 1,671,822.12

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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.