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Finding the Third Proportional to 76,400,640 and 118,473,984

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Solution

The third proportional to 76,400,640 and 118,473,984 is: 183,716,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400,640 : 118,473,984 = 118,473,984 : x
  2. Step 2: Convert to fraction form
    76,400,640/118,473,984 = 118,473,984/x
  3. Step 3: Cross multiply
    76,400,640x = 118,473,984 × 118,473,984
  4. Step 4: Simplify right side
    76,400,640x = 14,036,084,884,832,256
  5. Step 5: Solve for x
    x = 14,036,084,884,832,256/76,400,640
  6. Step 6: Final answer
    x = 183,716,849.56

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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.