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Finding the Third Proportional to 4,077,776 and 6,478,272

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Solution

The third proportional to 4,077,776 and 6,478,272 is: 10,291,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,776 : 6,478,272 = 6,478,272 : x
  2. Step 2: Convert to fraction form
    4,077,776/6,478,272 = 6,478,272/x
  3. Step 3: Cross multiply
    4,077,776x = 6,478,272 × 6,478,272
  4. Step 4: Simplify right side
    4,077,776x = 41,968,008,105,984
  5. Step 5: Solve for x
    x = 41,968,008,105,984/4,077,776
  6. Step 6: Final answer
    x = 10,291,886.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.