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Finding the Third Proportional to 76,565,280 and 117,686,376

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Solution

The third proportional to 76,565,280 and 117,686,376 is: 180,892,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,280 : 117,686,376 = 117,686,376 : x
  2. Step 2: Convert to fraction form
    76,565,280/117,686,376 = 117,686,376/x
  3. Step 3: Cross multiply
    76,565,280x = 117,686,376 × 117,686,376
  4. Step 4: Simplify right side
    76,565,280x = 13,850,083,096,013,376
  5. Step 5: Solve for x
    x = 13,850,083,096,013,376/76,565,280
  6. Step 6: Final answer
    x = 180,892,476.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.