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Finding the Third Proportional to 94,385,812,320 and 202,234,471,840

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Solution

The third proportional to 94,385,812,320 and 202,234,471,840 is: 433,314,929,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,385,812,320 : 202,234,471,840 = 202,234,471,840 : x
  2. Step 2: Convert to fraction form
    94,385,812,320/202,234,471,840 = 202,234,471,840/x
  3. Step 3: Cross multiply
    94,385,812,320x = 202,234,471,840 × 202,234,471,840
  4. Step 4: Simplify right side
    94,385,812,320x = 40,898,781,600,403,756,679,168
  5. Step 5: Solve for x
    x = 40,898,781,600,403,756,679,168/94,385,812,320
  6. Step 6: Final answer
    x = 433,314,929,385.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.