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Finding the Third Proportional to 478,080 and 670,020

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Solution

The third proportional to 478,080 and 670,020 is: 939,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,080 : 670,020 = 670,020 : x
  2. Step 2: Convert to fraction form
    478,080/670,020 = 670,020/x
  3. Step 3: Cross multiply
    478,080x = 670,020 × 670,020
  4. Step 4: Simplify right side
    478,080x = 448,926,800,400
  5. Step 5: Solve for x
    x = 448,926,800,400/478,080
  6. Step 6: Final answer
    x = 939,020.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.