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Finding the Third Proportional to 53,911,578 and 77,094,184.50

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Solution

The third proportional to 53,911,578 and 77,094,184.50 is: 110,245,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,911,578 : 77,094,184.50 = 77,094,184.50 : x
  2. Step 2: Convert to fraction form
    53,911,578/77,094,184.50 = 77,094,184.50/x
  3. Step 3: Cross multiply
    53,911,578x = 77,094,184.50 × 77,094,184.50
  4. Step 4: Simplify right side
    53,911,578x = 5,943,513,283,720,040
  5. Step 5: Solve for x
    x = 5,943,513,283,720,040/53,911,578
  6. Step 6: Final answer
    x = 110,245,581.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.