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Finding the Third Proportional to 142,974 and 210,297

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Solution

The third proportional to 142,974 and 210,297 is: 309,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,974 : 210,297 = 210,297 : x
  2. Step 2: Convert to fraction form
    142,974/210,297 = 210,297/x
  3. Step 3: Cross multiply
    142,974x = 210,297 × 210,297
  4. Step 4: Simplify right side
    142,974x = 44,224,828,209
  5. Step 5: Solve for x
    x = 44,224,828,209/142,974
  6. Step 6: Final answer
    x = 309,320.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.