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Finding the Third Proportional to 356,727 and 772,260

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Solution

The third proportional to 356,727 and 772,260 is: 1,671,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,727 : 772,260 = 772,260 : x
  2. Step 2: Convert to fraction form
    356,727/772,260 = 772,260/x
  3. Step 3: Cross multiply
    356,727x = 772,260 × 772,260
  4. Step 4: Simplify right side
    356,727x = 596,385,507,600
  5. Step 5: Solve for x
    x = 596,385,507,600/356,727
  6. Step 6: Final answer
    x = 1,671,826.10

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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.