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Finding the Third Proportional to 685,386 and 1,024,130

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Solution

The third proportional to 685,386 and 1,024,130 is: 1,530,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,386 : 1,024,130 = 1,024,130 : x
  2. Step 2: Convert to fraction form
    685,386/1,024,130 = 1,024,130/x
  3. Step 3: Cross multiply
    685,386x = 1,024,130 × 1,024,130
  4. Step 4: Simplify right side
    685,386x = 1,048,842,256,900
  5. Step 5: Solve for x
    x = 1,048,842,256,900/685,386
  6. Step 6: Final answer
    x = 1,530,294.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.