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Finding the Third Proportional to 142,235,970 and 310,315,566

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Solution

The third proportional to 142,235,970 and 310,315,566 is: 677,014,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,235,970 : 310,315,566 = 310,315,566 : x
  2. Step 2: Convert to fraction form
    142,235,970/310,315,566 = 310,315,566/x
  3. Step 3: Cross multiply
    142,235,970x = 310,315,566 × 310,315,566
  4. Step 4: Simplify right side
    142,235,970x = 96,295,750,501,900,352
  5. Step 5: Solve for x
    x = 96,295,750,501,900,352/142,235,970
  6. Step 6: Final answer
    x = 677,014,052.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.