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Finding the Third Proportional to 780,143,129 and 1,069,765,783

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Solution

The third proportional to 780,143,129 and 1,069,765,783 is: 1,466,908,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,143,129 : 1,069,765,783 = 1,069,765,783 : x
  2. Step 2: Convert to fraction form
    780,143,129/1,069,765,783 = 1,069,765,783/x
  3. Step 3: Cross multiply
    780,143,129x = 1,069,765,783 × 1,069,765,783
  4. Step 4: Simplify right side
    780,143,129x = 1,144,398,830,477,603,072
  5. Step 5: Solve for x
    x = 1,144,398,830,477,603,072/780,143,129
  6. Step 6: Final answer
    x = 1,466,908,811.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.