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Finding the Third Proportional to 310,852,744.88 and 674,154,265.50

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Solution

The third proportional to 310,852,744.88 and 674,154,265.50 is: 1,462,055,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,852,744.88 : 674,154,265.50 = 674,154,265.50 : x
  2. Step 2: Convert to fraction form
    310,852,744.88/674,154,265.50 = 674,154,265.50/x
  3. Step 3: Cross multiply
    310,852,744.88x = 674,154,265.50 × 674,154,265.50
  4. Step 4: Simplify right side
    310,852,744.88x = 454,483,973,691,844,480
  5. Step 5: Solve for x
    x = 454,483,973,691,844,480/310,852,744.88
  6. Step 6: Final answer
    x = 1,462,055,526.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.