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Finding the Third Proportional to 356,700 and 521,922

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Solution

The third proportional to 356,700 and 521,922 is: 763,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,700 : 521,922 = 521,922 : x
  2. Step 2: Convert to fraction form
    356,700/521,922 = 521,922/x
  3. Step 3: Cross multiply
    356,700x = 521,922 × 521,922
  4. Step 4: Simplify right side
    356,700x = 272,402,574,084
  5. Step 5: Solve for x
    x = 272,402,574,084/356,700
  6. Step 6: Final answer
    x = 763,674.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.