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Finding the Third Proportional to 51,369,349.50 and 77,489,480.25

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Solution

The third proportional to 51,369,349.50 and 77,489,480.25 is: 116,891,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,369,349.50 : 77,489,480.25 = 77,489,480.25 : x
  2. Step 2: Convert to fraction form
    51,369,349.50/77,489,480.25 = 77,489,480.25/x
  3. Step 3: Cross multiply
    51,369,349.50x = 77,489,480.25 × 77,489,480.25
  4. Step 4: Simplify right side
    51,369,349.50x = 6,004,619,549,415,140
  5. Step 5: Solve for x
    x = 6,004,619,549,415,140/51,369,349.50
  6. Step 6: Final answer
    x = 116,891,095.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.