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Finding the Third Proportional to 432,686,312 and 1,020,385,484

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Solution

The third proportional to 432,686,312 and 1,020,385,484 is: 2,406,331,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,686,312 : 1,020,385,484 = 1,020,385,484 : x
  2. Step 2: Convert to fraction form
    432,686,312/1,020,385,484 = 1,020,385,484/x
  3. Step 3: Cross multiply
    432,686,312x = 1,020,385,484 × 1,020,385,484
  4. Step 4: Simplify right side
    432,686,312x = 1,041,186,535,957,914,240
  5. Step 5: Solve for x
    x = 1,041,186,535,957,914,240/432,686,312
  6. Step 6: Final answer
    x = 2,406,331,115.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.