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Finding the Third Proportional to 65,840,386 and 144,713,470

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Solution

The third proportional to 65,840,386 and 144,713,470 is: 318,072,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840,386 : 144,713,470 = 144,713,470 : x
  2. Step 2: Convert to fraction form
    65,840,386/144,713,470 = 144,713,470/x
  3. Step 3: Cross multiply
    65,840,386x = 144,713,470 × 144,713,470
  4. Step 4: Simplify right side
    65,840,386x = 20,941,988,399,440,900
  5. Step 5: Solve for x
    x = 20,941,988,399,440,900/65,840,386
  6. Step 6: Final answer
    x = 318,072,078.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.