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Finding the Third Proportional to 163,680,345.75 and 354,604,377.75

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Solution

The third proportional to 163,680,345.75 and 354,604,377.75 is: 768,230,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680,345.75 : 354,604,377.75 = 354,604,377.75 : x
  2. Step 2: Convert to fraction form
    163,680,345.75/354,604,377.75 = 354,604,377.75/x
  3. Step 3: Cross multiply
    163,680,345.75x = 354,604,377.75 × 354,604,377.75
  4. Step 4: Simplify right side
    163,680,345.75x = 125,744,264,719,464,688
  5. Step 5: Solve for x
    x = 125,744,264,719,464,688/163,680,345.75
  6. Step 6: Final answer
    x = 768,230,688.56

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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.