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Finding the Third Proportional to 142,700,960 and 312,664,576

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Solution

The third proportional to 142,700,960 and 312,664,576 is: 685,062,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,700,960 : 312,664,576 = 312,664,576 : x
  2. Step 2: Convert to fraction form
    142,700,960/312,664,576 = 312,664,576/x
  3. Step 3: Cross multiply
    142,700,960x = 312,664,576 × 312,664,576
  4. Step 4: Simplify right side
    142,700,960x = 97,759,137,085,259,776
  5. Step 5: Solve for x
    x = 97,759,137,085,259,776/142,700,960
  6. Step 6: Final answer
    x = 685,062,925.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.