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Finding the Third Proportional to 76,849,056 and 118,864,638

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Solution

The third proportional to 76,849,056 and 118,864,638 is: 183,851,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849,056 : 118,864,638 = 118,864,638 : x
  2. Step 2: Convert to fraction form
    76,849,056/118,864,638 = 118,864,638/x
  3. Step 3: Cross multiply
    76,849,056x = 118,864,638 × 118,864,638
  4. Step 4: Simplify right side
    76,849,056x = 14,128,802,166,871,044
  5. Step 5: Solve for x
    x = 14,128,802,166,871,044/76,849,056
  6. Step 6: Final answer
    x = 183,851,343.17

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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.