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Finding the Third Proportional to 209,257,721 and 344,564,724

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Solution

The third proportional to 209,257,721 and 344,564,724 is: 567,361,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257,721 : 344,564,724 = 344,564,724 : x
  2. Step 2: Convert to fraction form
    209,257,721/344,564,724 = 344,564,724/x
  3. Step 3: Cross multiply
    209,257,721x = 344,564,724 × 344,564,724
  4. Step 4: Simplify right side
    209,257,721x = 118,724,849,025,196,176
  5. Step 5: Solve for x
    x = 118,724,849,025,196,176/209,257,721
  6. Step 6: Final answer
    x = 567,361,856.27

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.