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Finding the Third Proportional to 803,430 and 1,213,380

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Solution

The third proportional to 803,430 and 1,213,380 is: 1,832,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,430 : 1,213,380 = 1,213,380 : x
  2. Step 2: Convert to fraction form
    803,430/1,213,380 = 1,213,380/x
  3. Step 3: Cross multiply
    803,430x = 1,213,380 × 1,213,380
  4. Step 4: Simplify right side
    803,430x = 1,472,291,024,400
  5. Step 5: Solve for x
    x = 1,472,291,024,400/803,430
  6. Step 6: Final answer
    x = 1,832,506.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.