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Finding the Third Proportional to 130,322,448 and 191,223,219

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Solution

The third proportional to 130,322,448 and 191,223,219 is: 280,583,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,322,448 : 191,223,219 = 191,223,219 : x
  2. Step 2: Convert to fraction form
    130,322,448/191,223,219 = 191,223,219/x
  3. Step 3: Cross multiply
    130,322,448x = 191,223,219 × 191,223,219
  4. Step 4: Simplify right side
    130,322,448x = 36,566,319,484,721,960
  5. Step 5: Solve for x
    x = 36,566,319,484,721,960/130,322,448
  6. Step 6: Final answer
    x = 280,583,430.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.