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Finding the Third Proportional to 31,739,125 and 64,370,681

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Solution

The third proportional to 31,739,125 and 64,370,681 is: 130,551,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739,125 : 64,370,681 = 64,370,681 : x
  2. Step 2: Convert to fraction form
    31,739,125/64,370,681 = 64,370,681/x
  3. Step 3: Cross multiply
    31,739,125x = 64,370,681 × 64,370,681
  4. Step 4: Simplify right side
    31,739,125x = 4,143,584,572,403,761
  5. Step 5: Solve for x
    x = 4,143,584,572,403,761/31,739,125
  6. Step 6: Final answer
    x = 130,551,317.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.