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Finding the Third Proportional to 209,137,368 and 316,395,838

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Solution

The third proportional to 209,137,368 and 316,395,838 is: 478,663,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,137,368 : 316,395,838 = 316,395,838 : x
  2. Step 2: Convert to fraction form
    209,137,368/316,395,838 = 316,395,838/x
  3. Step 3: Cross multiply
    209,137,368x = 316,395,838 × 316,395,838
  4. Step 4: Simplify right side
    209,137,368x = 100,106,326,303,722,240
  5. Step 5: Solve for x
    x = 100,106,326,303,722,240/209,137,368
  6. Step 6: Final answer
    x = 478,663,030.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.