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Finding the Third Proportional to 77,605,090.50 and 121,739,542.50

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Solution

The third proportional to 77,605,090.50 and 121,739,542.50 is: 190,973,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,605,090.50 : 121,739,542.50 = 121,739,542.50 : x
  2. Step 2: Convert to fraction form
    77,605,090.50/121,739,542.50 = 121,739,542.50/x
  3. Step 3: Cross multiply
    77,605,090.50x = 121,739,542.50 × 121,739,542.50
  4. Step 4: Simplify right side
    77,605,090.50x = 14,820,516,208,109,306
  5. Step 5: Solve for x
    x = 14,820,516,208,109,306/77,605,090.50
  6. Step 6: Final answer
    x = 190,973,505.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.