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Finding the Third Proportional to 153,248 and 219,392

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Solution

The third proportional to 153,248 and 219,392 is: 314,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,248 : 219,392 = 219,392 : x
  2. Step 2: Convert to fraction form
    153,248/219,392 = 219,392/x
  3. Step 3: Cross multiply
    153,248x = 219,392 × 219,392
  4. Step 4: Simplify right side
    153,248x = 48,132,849,664
  5. Step 5: Solve for x
    x = 48,132,849,664/153,248
  6. Step 6: Final answer
    x = 314,084.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.