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Finding the Third Proportional to 30,110,710.50 and 64,105,533

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Solution

The third proportional to 30,110,710.50 and 64,105,533 is: 136,480,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,110,710.50 : 64,105,533 = 64,105,533 : x
  2. Step 2: Convert to fraction form
    30,110,710.50/64,105,533 = 64,105,533/x
  3. Step 3: Cross multiply
    30,110,710.50x = 64,105,533 × 64,105,533
  4. Step 4: Simplify right side
    30,110,710.50x = 4,109,519,361,214,089
  5. Step 5: Solve for x
    x = 4,109,519,361,214,089/30,110,710.50
  6. Step 6: Final answer
    x = 136,480,318.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.