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Finding the Third Proportional to 72,404,680,480 and 155,875,050,030

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Solution

The third proportional to 72,404,680,480 and 155,875,050,030 is: 335,572,659,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,404,680,480 : 155,875,050,030 = 155,875,050,030 : x
  2. Step 2: Convert to fraction form
    72,404,680,480/155,875,050,030 = 155,875,050,030/x
  3. Step 3: Cross multiply
    72,404,680,480x = 155,875,050,030 × 155,875,050,030
  4. Step 4: Simplify right side
    72,404,680,480x = 24,297,031,221,855,003,869,184
  5. Step 5: Solve for x
    x = 24,297,031,221,855,003,869,184/72,404,680,480
  6. Step 6: Final answer
    x = 335,572,659,954.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.