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Finding the Third Proportional to 430,502 and 670,359

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Solution

The third proportional to 430,502 and 670,359 is: 1,043,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,502 : 670,359 = 670,359 : x
  2. Step 2: Convert to fraction form
    430,502/670,359 = 670,359/x
  3. Step 3: Cross multiply
    430,502x = 670,359 × 670,359
  4. Step 4: Simplify right side
    430,502x = 449,381,188,881
  5. Step 5: Solve for x
    x = 449,381,188,881/430,502
  6. Step 6: Final answer
    x = 1,043,853.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.