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Finding the Third Proportional to 77,549,984 and 163,122,496

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Solution

The third proportional to 77,549,984 and 163,122,496 is: 343,119,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,549,984 : 163,122,496 = 163,122,496 : x
  2. Step 2: Convert to fraction form
    77,549,984/163,122,496 = 163,122,496/x
  3. Step 3: Cross multiply
    77,549,984x = 163,122,496 × 163,122,496
  4. Step 4: Simplify right side
    77,549,984x = 26,608,948,701,270,016
  5. Step 5: Solve for x
    x = 26,608,948,701,270,016/77,549,984
  6. Step 6: Final answer
    x = 343,119,976.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.