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Finding the Third Proportional to 78,100,547 and 162,665,428

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Solution

The third proportional to 78,100,547 and 162,665,428 is: 338,794,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,547 : 162,665,428 = 162,665,428 : x
  2. Step 2: Convert to fraction form
    78,100,547/162,665,428 = 162,665,428/x
  3. Step 3: Cross multiply
    78,100,547x = 162,665,428 × 162,665,428
  4. Step 4: Simplify right side
    78,100,547x = 26,460,041,466,423,184
  5. Step 5: Solve for x
    x = 26,460,041,466,423,184/78,100,547
  6. Step 6: Final answer
    x = 338,794,572.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.