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Finding the Third Proportional to 12,931,012.13 and 18,827,898.19

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Solution

The third proportional to 12,931,012.13 and 18,827,898.19 is: 27,413,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931,012.13 : 18,827,898.19 = 18,827,898.19 : x
  2. Step 2: Convert to fraction form
    12,931,012.13/18,827,898.19 = 18,827,898.19/x
  3. Step 3: Cross multiply
    12,931,012.13x = 18,827,898.19 × 18,827,898.19
  4. Step 4: Simplify right side
    12,931,012.13x = 354,489,750,158,865.81
  5. Step 5: Solve for x
    x = 354,489,750,158,865.81/12,931,012.13
  6. Step 6: Final answer
    x = 27,413,921.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.