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Finding the Third Proportional to 561,562,643 and 876,339,927

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Solution

The third proportional to 561,562,643 and 876,339,927 is: 1,367,561,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,562,643 : 876,339,927 = 876,339,927 : x
  2. Step 2: Convert to fraction form
    561,562,643/876,339,927 = 876,339,927/x
  3. Step 3: Cross multiply
    561,562,643x = 876,339,927 × 876,339,927
  4. Step 4: Simplify right side
    561,562,643x = 767,971,667,654,365,312
  5. Step 5: Solve for x
    x = 767,971,667,654,365,312/561,562,643
  6. Step 6: Final answer
    x = 1,367,561,886.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.