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Finding the Third Proportional to 630,969 and 917,655

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Solution

The third proportional to 630,969 and 917,655 is: 1,334,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,969 : 917,655 = 917,655 : x
  2. Step 2: Convert to fraction form
    630,969/917,655 = 917,655/x
  3. Step 3: Cross multiply
    630,969x = 917,655 × 917,655
  4. Step 4: Simplify right side
    630,969x = 842,090,699,025
  5. Step 5: Solve for x
    x = 842,090,699,025/630,969
  6. Step 6: Final answer
    x = 1,334,599.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.