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Finding the Third Proportional to 76,609,320 and 115,708,428

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Solution

The third proportional to 76,609,320 and 115,708,428 is: 174,762,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,609,320 : 115,708,428 = 115,708,428 : x
  2. Step 2: Convert to fraction form
    76,609,320/115,708,428 = 115,708,428/x
  3. Step 3: Cross multiply
    76,609,320x = 115,708,428 × 115,708,428
  4. Step 4: Simplify right side
    76,609,320x = 13,388,440,310,231,184
  5. Step 5: Solve for x
    x = 13,388,440,310,231,184/76,609,320
  6. Step 6: Final answer
    x = 174,762,552.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.