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Finding the Third Proportional to 176,836,728 and 380,547,320

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Solution

The third proportional to 176,836,728 and 380,547,320 is: 818,926,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,836,728 : 380,547,320 = 380,547,320 : x
  2. Step 2: Convert to fraction form
    176,836,728/380,547,320 = 380,547,320/x
  3. Step 3: Cross multiply
    176,836,728x = 380,547,320 × 380,547,320
  4. Step 4: Simplify right side
    176,836,728x = 144,816,262,759,182,400
  5. Step 5: Solve for x
    x = 144,816,262,759,182,400/176,836,728
  6. Step 6: Final answer
    x = 818,926,387.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.