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Finding the Third Proportional to 640,481 and 982,430

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Solution

The third proportional to 640,481 and 982,430 is: 1,506,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,481 : 982,430 = 982,430 : x
  2. Step 2: Convert to fraction form
    640,481/982,430 = 982,430/x
  3. Step 3: Cross multiply
    640,481x = 982,430 × 982,430
  4. Step 4: Simplify right side
    640,481x = 965,168,704,900
  5. Step 5: Solve for x
    x = 965,168,704,900/640,481
  6. Step 6: Final answer
    x = 1,506,943.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.