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Finding the Third Proportional to 72,070,497 and 155,478,384

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Solution

The third proportional to 72,070,497 and 155,478,384 is: 335,415,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,070,497 : 155,478,384 = 155,478,384 : x
  2. Step 2: Convert to fraction form
    72,070,497/155,478,384 = 155,478,384/x
  3. Step 3: Cross multiply
    72,070,497x = 155,478,384 × 155,478,384
  4. Step 4: Simplify right side
    72,070,497x = 24,173,527,891,251,456
  5. Step 5: Solve for x
    x = 24,173,527,891,251,456/72,070,497
  6. Step 6: Final answer
    x = 335,415,029.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.