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Finding the Third Proportional to 407,438,689 and 882,564,921

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Solution

The third proportional to 407,438,689 and 882,564,921 is: 1,911,749,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,438,689 : 882,564,921 = 882,564,921 : x
  2. Step 2: Convert to fraction form
    407,438,689/882,564,921 = 882,564,921/x
  3. Step 3: Cross multiply
    407,438,689x = 882,564,921 × 882,564,921
  4. Step 4: Simplify right side
    407,438,689x = 778,920,839,779,736,192
  5. Step 5: Solve for x
    x = 778,920,839,779,736,192/407,438,689
  6. Step 6: Final answer
    x = 1,911,749,818.58

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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.