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Finding the Third Proportional to 576,499 and 842,528

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Solution

The third proportional to 576,499 and 842,528 is: 1,231,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,499 : 842,528 = 842,528 : x
  2. Step 2: Convert to fraction form
    576,499/842,528 = 842,528/x
  3. Step 3: Cross multiply
    576,499x = 842,528 × 842,528
  4. Step 4: Simplify right side
    576,499x = 709,853,430,784
  5. Step 5: Solve for x
    x = 709,853,430,784/576,499
  6. Step 6: Final answer
    x = 1,231,317.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.