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Finding the Third Proportional to 65,990,705 and 99,835,409

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Solution

The third proportional to 65,990,705 and 99,835,409 is: 151,038,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,990,705 : 99,835,409 = 99,835,409 : x
  2. Step 2: Convert to fraction form
    65,990,705/99,835,409 = 99,835,409/x
  3. Step 3: Cross multiply
    65,990,705x = 99,835,409 × 99,835,409
  4. Step 4: Simplify right side
    65,990,705x = 9,967,108,890,197,280
  5. Step 5: Solve for x
    x = 9,967,108,890,197,280/65,990,705
  6. Step 6: Final answer
    x = 151,038,072.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.