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Finding the Third Proportional to 924,710 and 1,450,962

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Solution

The third proportional to 924,710 and 1,450,962 is: 2,276,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,710 : 1,450,962 = 1,450,962 : x
  2. Step 2: Convert to fraction form
    924,710/1,450,962 = 1,450,962/x
  3. Step 3: Cross multiply
    924,710x = 1,450,962 × 1,450,962
  4. Step 4: Simplify right side
    924,710x = 2,105,290,725,444
  5. Step 5: Solve for x
    x = 2,105,290,725,444/924,710
  6. Step 6: Final answer
    x = 2,276,703.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.