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Finding the Third Proportional to 319,480,986 and 456,546,639

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Solution

The third proportional to 319,480,986 and 456,546,639 is: 652,417,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,480,986 : 456,546,639 = 456,546,639 : x
  2. Step 2: Convert to fraction form
    319,480,986/456,546,639 = 456,546,639/x
  3. Step 3: Cross multiply
    319,480,986x = 456,546,639 × 456,546,639
  4. Step 4: Simplify right side
    319,480,986x = 208,434,833,582,196,320
  5. Step 5: Solve for x
    x = 208,434,833,582,196,320/319,480,986
  6. Step 6: Final answer
    x = 652,417,022.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.