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Finding the Third Proportional to 391,369,807.13 and 838,763,020.13

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Solution

The third proportional to 391,369,807.13 and 838,763,020.13 is: 1,797,592,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,369,807.13 : 838,763,020.13 = 838,763,020.13 : x
  2. Step 2: Convert to fraction form
    391,369,807.13/838,763,020.13 = 838,763,020.13/x
  3. Step 3: Cross multiply
    391,369,807.13x = 838,763,020.13 × 838,763,020.13
  4. Step 4: Simplify right side
    391,369,807.13x = 703,523,403,929,211,136
  5. Step 5: Solve for x
    x = 703,523,403,929,211,136/391,369,807.13
  6. Step 6: Final answer
    x = 1,797,592,433.35

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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.