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Finding the Third Proportional to 356,724 and 772,254

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Solution

The third proportional to 356,724 and 772,254 is: 1,671,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,724 : 772,254 = 772,254 : x
  2. Step 2: Convert to fraction form
    356,724/772,254 = 772,254/x
  3. Step 3: Cross multiply
    356,724x = 772,254 × 772,254
  4. Step 4: Simplify right side
    356,724x = 596,376,240,516
  5. Step 5: Solve for x
    x = 596,376,240,516/356,724
  6. Step 6: Final answer
    x = 1,671,814.18

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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.