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Finding the Third Proportional to 433,710 and 676,795.50

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Solution

The third proportional to 433,710 and 676,795.50 is: 1,056,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,710 : 676,795.50 = 676,795.50 : x
  2. Step 2: Convert to fraction form
    433,710/676,795.50 = 676,795.50/x
  3. Step 3: Cross multiply
    433,710x = 676,795.50 × 676,795.50
  4. Step 4: Simplify right side
    433,710x = 458,052,148,820.25
  5. Step 5: Solve for x
    x = 458,052,148,820.25/433,710
  6. Step 6: Final answer
    x = 1,056,125.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.