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Finding the Third Proportional to 456,900,120.50 and 706,309,335

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Solution

The third proportional to 456,900,120.50 and 706,309,335 is: 1,091,864,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,900,120.50 : 706,309,335 = 706,309,335 : x
  2. Step 2: Convert to fraction form
    456,900,120.50/706,309,335 = 706,309,335/x
  3. Step 3: Cross multiply
    456,900,120.50x = 706,309,335 × 706,309,335
  4. Step 4: Simplify right side
    456,900,120.50x = 498,872,876,708,142,208
  5. Step 5: Solve for x
    x = 498,872,876,708,142,208/456,900,120.50
  6. Step 6: Final answer
    x = 1,091,864,182.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.