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Finding the Third Proportional to 498,528 and 768,528

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Solution

The third proportional to 498,528 and 768,528 is: 1,184,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528 : 768,528 = 768,528 : x
  2. Step 2: Convert to fraction form
    498,528/768,528 = 768,528/x
  3. Step 3: Cross multiply
    498,528x = 768,528 × 768,528
  4. Step 4: Simplify right side
    498,528x = 590,635,286,784
  5. Step 5: Solve for x
    x = 590,635,286,784/498,528
  6. Step 6: Final answer
    x = 1,184,758.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.