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Finding the Third Proportional to 83,976,678 and 130,336,831.50

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Solution

The third proportional to 83,976,678 and 130,336,831.50 is: 202,290,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,976,678 : 130,336,831.50 = 130,336,831.50 : x
  2. Step 2: Convert to fraction form
    83,976,678/130,336,831.50 = 130,336,831.50/x
  3. Step 3: Cross multiply
    83,976,678x = 130,336,831.50 × 130,336,831.50
  4. Step 4: Simplify right side
    83,976,678x = 16,987,689,645,459,392
  5. Step 5: Solve for x
    x = 16,987,689,645,459,392/83,976,678
  6. Step 6: Final answer
    x = 202,290,565.07

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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.