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Finding the Third Proportional to 77,078,130 and 181,896,555

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Solution

The third proportional to 77,078,130 and 181,896,555 is: 429,257,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078,130 : 181,896,555 = 181,896,555 : x
  2. Step 2: Convert to fraction form
    77,078,130/181,896,555 = 181,896,555/x
  3. Step 3: Cross multiply
    77,078,130x = 181,896,555 × 181,896,555
  4. Step 4: Simplify right side
    77,078,130x = 33,086,356,720,868,024
  5. Step 5: Solve for x
    x = 33,086,356,720,868,024/77,078,130
  6. Step 6: Final answer
    x = 429,257,387.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.