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Finding the Third Proportional to 236,428 and 361,711

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Solution

The third proportional to 236,428 and 361,711 is: 553,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,428 : 361,711 = 361,711 : x
  2. Step 2: Convert to fraction form
    236,428/361,711 = 361,711/x
  3. Step 3: Cross multiply
    236,428x = 361,711 × 361,711
  4. Step 4: Simplify right side
    236,428x = 130,834,847,521
  5. Step 5: Solve for x
    x = 130,834,847,521/236,428
  6. Step 6: Final answer
    x = 553,381.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.