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Finding the Third Proportional to 78,137,196.75 and 169,725,901.50

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Solution

The third proportional to 78,137,196.75 and 169,725,901.50 is: 368,670,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137,196.75 : 169,725,901.50 = 169,725,901.50 : x
  2. Step 2: Convert to fraction form
    78,137,196.75/169,725,901.50 = 169,725,901.50/x
  3. Step 3: Cross multiply
    78,137,196.75x = 169,725,901.50 × 169,725,901.50
  4. Step 4: Simplify right side
    78,137,196.75x = 28,806,881,639,987,704
  5. Step 5: Solve for x
    x = 28,806,881,639,987,704/78,137,196.75
  6. Step 6: Final answer
    x = 368,670,528.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.