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Finding the Third Proportional to 464,515.50 and 688,138.50

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Solution

The third proportional to 464,515.50 and 688,138.50 is: 1,019,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,515.50 : 688,138.50 = 688,138.50 : x
  2. Step 2: Convert to fraction form
    464,515.50/688,138.50 = 688,138.50/x
  3. Step 3: Cross multiply
    464,515.50x = 688,138.50 × 688,138.50
  4. Step 4: Simplify right side
    464,515.50x = 473,534,595,182.25
  5. Step 5: Solve for x
    x = 473,534,595,182.25/464,515.50
  6. Step 6: Final answer
    x = 1,019,416.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.