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Finding the Third Proportional to 310,612,840 and 690,177,309

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Solution

The third proportional to 310,612,840 and 690,177,309 is: 1,533,564,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,612,840 : 690,177,309 = 690,177,309 : x
  2. Step 2: Convert to fraction form
    310,612,840/690,177,309 = 690,177,309/x
  3. Step 3: Cross multiply
    310,612,840x = 690,177,309 × 690,177,309
  4. Step 4: Simplify right side
    310,612,840x = 476,344,717,858,481,472
  5. Step 5: Solve for x
    x = 476,344,717,858,481,472/310,612,840
  6. Step 6: Final answer
    x = 1,533,564,156.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.