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Finding the Third Proportional to 209,909,323.13 and 456,737,211

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Solution

The third proportional to 209,909,323.13 and 456,737,211 is: 993,804,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909,323.13 : 456,737,211 = 456,737,211 : x
  2. Step 2: Convert to fraction form
    209,909,323.13/456,737,211 = 456,737,211/x
  3. Step 3: Cross multiply
    209,909,323.13x = 456,737,211 × 456,737,211
  4. Step 4: Simplify right side
    209,909,323.13x = 208,608,879,912,058,528
  5. Step 5: Solve for x
    x = 208,608,879,912,058,528/209,909,323.13
  6. Step 6: Final answer
    x = 993,804,738.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.