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Finding the Third Proportional to 113,331,409,232 and 169,372,483,320

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Solution

The third proportional to 113,331,409,232 and 169,372,483,320 is: 253,125,221,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,331,409,232 : 169,372,483,320 = 169,372,483,320 : x
  2. Step 2: Convert to fraction form
    113,331,409,232/169,372,483,320 = 169,372,483,320/x
  3. Step 3: Cross multiply
    113,331,409,232x = 169,372,483,320 × 169,372,483,320
  4. Step 4: Simplify right side
    113,331,409,232x = 28,687,038,105,983,677,104,128
  5. Step 5: Solve for x
    x = 28,687,038,105,983,677,104,128/113,331,409,232
  6. Step 6: Final answer
    x = 253,125,221,863.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.