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Finding the Third Proportional to 832,480 and 1,768,624

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Solution

The third proportional to 832,480 and 1,768,624 is: 3,757,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,480 : 1,768,624 = 1,768,624 : x
  2. Step 2: Convert to fraction form
    832,480/1,768,624 = 1,768,624/x
  3. Step 3: Cross multiply
    832,480x = 1,768,624 × 1,768,624
  4. Step 4: Simplify right side
    832,480x = 3,128,030,853,376
  5. Step 5: Solve for x
    x = 3,128,030,853,376/832,480
  6. Step 6: Final answer
    x = 3,757,484.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.