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Finding the Third Proportional to 290,709,739.13 and 446,841,901.69

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Solution

The third proportional to 290,709,739.13 and 446,841,901.69 is: 686,828,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,709,739.13 : 446,841,901.69 = 446,841,901.69 : x
  2. Step 2: Convert to fraction form
    290,709,739.13/446,841,901.69 = 446,841,901.69/x
  3. Step 3: Cross multiply
    290,709,739.13x = 446,841,901.69 × 446,841,901.69
  4. Step 4: Simplify right side
    290,709,739.13x = 199,667,685,103,701,408
  5. Step 5: Solve for x
    x = 199,667,685,103,701,408/290,709,739.13
  6. Step 6: Final answer
    x = 686,828,331.60

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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.