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Finding the Third Proportional to 420,602.63 and 917,334.49

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Solution

The third proportional to 420,602.63 and 917,334.49 is: 2,000,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,602.63 : 917,334.49 = 917,334.49 : x
  2. Step 2: Convert to fraction form
    420,602.63/917,334.49 = 917,334.49/x
  3. Step 3: Cross multiply
    420,602.63x = 917,334.49 × 917,334.49
  4. Step 4: Simplify right side
    420,602.63x = 841,502,570,556.90
  5. Step 5: Solve for x
    x = 841,502,570,556.90/420,602.63
  6. Step 6: Final answer
    x = 2,000,706.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.