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Finding the Third Proportional to 690,004 and 1,046,678

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Solution

The third proportional to 690,004 and 1,046,678 is: 1,587,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,004 : 1,046,678 = 1,046,678 : x
  2. Step 2: Convert to fraction form
    690,004/1,046,678 = 1,046,678/x
  3. Step 3: Cross multiply
    690,004x = 1,046,678 × 1,046,678
  4. Step 4: Simplify right side
    690,004x = 1,095,534,835,684
  5. Step 5: Solve for x
    x = 1,095,534,835,684/690,004
  6. Step 6: Final answer
    x = 1,587,722.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.