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Finding the Third Proportional to 291,580 and 435,852

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Solution

The third proportional to 291,580 and 435,852 is: 651,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,580 : 435,852 = 435,852 : x
  2. Step 2: Convert to fraction form
    291,580/435,852 = 435,852/x
  3. Step 3: Cross multiply
    291,580x = 435,852 × 435,852
  4. Step 4: Simplify right side
    291,580x = 189,966,965,904
  5. Step 5: Solve for x
    x = 189,966,965,904/291,580
  6. Step 6: Final answer
    x = 651,508.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.