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Finding the Third Proportional to 456,201 and 666,967.50

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Solution

The third proportional to 456,201 and 666,967.50 is: 975,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,201 : 666,967.50 = 666,967.50 : x
  2. Step 2: Convert to fraction form
    456,201/666,967.50 = 666,967.50/x
  3. Step 3: Cross multiply
    456,201x = 666,967.50 × 666,967.50
  4. Step 4: Simplify right side
    456,201x = 444,845,646,056.25
  5. Step 5: Solve for x
    x = 444,845,646,056.25/456,201
  6. Step 6: Final answer
    x = 975,108.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.