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Finding the Third Proportional to 134,312 and 282,448

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Solution

The third proportional to 134,312 and 282,448 is: 593,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,312 : 282,448 = 282,448 : x
  2. Step 2: Convert to fraction form
    134,312/282,448 = 282,448/x
  3. Step 3: Cross multiply
    134,312x = 282,448 × 282,448
  4. Step 4: Simplify right side
    134,312x = 79,776,872,704
  5. Step 5: Solve for x
    x = 79,776,872,704/134,312
  6. Step 6: Final answer
    x = 593,966.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.