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Finding the Third Proportional to 53,398,080 and 82,720,608

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Solution

The third proportional to 53,398,080 and 82,720,608 is: 128,145,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,398,080 : 82,720,608 = 82,720,608 : x
  2. Step 2: Convert to fraction form
    53,398,080/82,720,608 = 82,720,608/x
  3. Step 3: Cross multiply
    53,398,080x = 82,720,608 × 82,720,608
  4. Step 4: Simplify right side
    53,398,080x = 6,842,698,987,889,664
  5. Step 5: Solve for x
    x = 6,842,698,987,889,664/53,398,080
  6. Step 6: Final answer
    x = 128,145,037.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.