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Finding the Third Proportional to 290,713,442 and 446,846,695

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Solution

The third proportional to 290,713,442 and 446,846,695 is: 686,834,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,442 : 446,846,695 = 446,846,695 : x
  2. Step 2: Convert to fraction form
    290,713,442/446,846,695 = 446,846,695/x
  3. Step 3: Cross multiply
    290,713,442x = 446,846,695 × 446,846,695
  4. Step 4: Simplify right side
    290,713,442x = 199,671,968,832,423,040
  5. Step 5: Solve for x
    x = 199,671,968,832,423,040/290,713,442
  6. Step 6: Final answer
    x = 686,834,318.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.