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Finding the Third Proportional to 459,046.13 and 688,569.75

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Solution

The third proportional to 459,046.13 and 688,569.75 is: 1,032,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,046.13 : 688,569.75 = 688,569.75 : x
  2. Step 2: Convert to fraction form
    459,046.13/688,569.75 = 688,569.75/x
  3. Step 3: Cross multiply
    459,046.13x = 688,569.75 × 688,569.75
  4. Step 4: Simplify right side
    459,046.13x = 474,128,300,615.06
  5. Step 5: Solve for x
    x = 474,128,300,615.06/459,046.13
  6. Step 6: Final answer
    x = 1,032,855.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.