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Finding the Third Proportional to 77,078,130.50 and 181,896,556

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Solution

The third proportional to 77,078,130.50 and 181,896,556 is: 429,257,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078,130.50 : 181,896,556 = 181,896,556 : x
  2. Step 2: Convert to fraction form
    77,078,130.50/181,896,556 = 181,896,556/x
  3. Step 3: Cross multiply
    77,078,130.50x = 181,896,556 × 181,896,556
  4. Step 4: Simplify right side
    77,078,130.50x = 33,086,357,084,661,136
  5. Step 5: Solve for x
    x = 33,086,357,084,661,136/77,078,130.50
  6. Step 6: Final answer
    x = 429,257,389.48

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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.