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Finding the Third Proportional to 145,973.63 and 316,869.94

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Solution

The third proportional to 145,973.63 and 316,869.94 is: 687,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,973.63 : 316,869.94 = 316,869.94 : x
  2. Step 2: Convert to fraction form
    145,973.63/316,869.94 = 316,869.94/x
  3. Step 3: Cross multiply
    145,973.63x = 316,869.94 × 316,869.94
  4. Step 4: Simplify right side
    145,973.63x = 100,406,557,291.25
  5. Step 5: Solve for x
    x = 100,406,557,291.25/145,973.63
  6. Step 6: Final answer
    x = 687,840.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.