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Finding the Third Proportional to 478,893 and 751,386

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Solution

The third proportional to 478,893 and 751,386 is: 1,178,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,893 : 751,386 = 751,386 : x
  2. Step 2: Convert to fraction form
    478,893/751,386 = 751,386/x
  3. Step 3: Cross multiply
    478,893x = 751,386 × 751,386
  4. Step 4: Simplify right side
    478,893x = 564,580,920,996
  5. Step 5: Solve for x
    x = 564,580,920,996/478,893
  6. Step 6: Final answer
    x = 1,178,929.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.