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Finding the Third Proportional to 391,369,803.50 and 838,763,012.50

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Solution

The third proportional to 391,369,803.50 and 838,763,012.50 is: 1,797,592,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,369,803.50 : 838,763,012.50 = 838,763,012.50 : x
  2. Step 2: Convert to fraction form
    391,369,803.50/838,763,012.50 = 838,763,012.50/x
  3. Step 3: Cross multiply
    391,369,803.50x = 838,763,012.50 × 838,763,012.50
  4. Step 4: Simplify right side
    391,369,803.50x = 703,523,391,138,075,136
  5. Step 5: Solve for x
    x = 703,523,391,138,075,136/391,369,803.50
  6. Step 6: Final answer
    x = 1,797,592,417.32

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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.