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Finding the Third Proportional to 140,653 and 286,528

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Solution

The third proportional to 140,653 and 286,528 is: 583,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,653 : 286,528 = 286,528 : x
  2. Step 2: Convert to fraction form
    140,653/286,528 = 286,528/x
  3. Step 3: Cross multiply
    140,653x = 286,528 × 286,528
  4. Step 4: Simplify right side
    140,653x = 82,098,294,784
  5. Step 5: Solve for x
    x = 82,098,294,784/140,653
  6. Step 6: Final answer
    x = 583,693.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.