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Finding the Third Proportional to 565,750,546 and 845,141,765

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Solution

The third proportional to 565,750,546 and 845,141,765 is: 1,262,508,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,750,546 : 845,141,765 = 845,141,765 : x
  2. Step 2: Convert to fraction form
    565,750,546/845,141,765 = 845,141,765/x
  3. Step 3: Cross multiply
    565,750,546x = 845,141,765 × 845,141,765
  4. Step 4: Simplify right side
    565,750,546x = 714,264,602,947,315,200
  5. Step 5: Solve for x
    x = 714,264,602,947,315,200/565,750,546
  6. Step 6: Final answer
    x = 1,262,508,022.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.