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Finding the Third Proportional to 7,678,528 and 17,776,288

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Solution

The third proportional to 7,678,528 and 17,776,288 is: 41,153,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,528 : 17,776,288 = 17,776,288 : x
  2. Step 2: Convert to fraction form
    7,678,528/17,776,288 = 17,776,288/x
  3. Step 3: Cross multiply
    7,678,528x = 17,776,288 × 17,776,288
  4. Step 4: Simplify right side
    7,678,528x = 315,996,415,058,944
  5. Step 5: Solve for x
    x = 315,996,415,058,944/7,678,528
  6. Step 6: Final answer
    x = 41,153,254.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.